Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418o |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1522319814834E+33 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-59972789055,-5411981988671803] |
[a1,a2,a3,a4,a6] |
Generators |
[-63025034455192217812936763278716046526492074070256066462417243396929289457254822414397681414888312433314966616:-733913608213330855863692285857792874401703621807449458474198653348515121106890730923633398293626851729955344541:383331576677483523639671980540975038519840118337775414781856231157358964364790426821907649640393021364736] |
Generators of the group modulo torsion |
j |
202767436691851370535713460651625/9793810244739659795989004288 |
j-invariant |
L |
6.5146700504113 |
L(r)(E,1)/r! |
Ω |
0.0096763139133301 |
Real period |
R |
168.31486940075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774e4 |
Quadratic twists by: -7 |