Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640m |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
43560468412876800 = 211 · 34 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61984137640,5939781500368300] |
[a1,a2,a3,a4,a6] |
Generators |
[61021646530:1836247563735:405224] |
Generators of the group modulo torsion |
j |
7259042500647479362626220802/12006225 |
j-invariant |
L |
5.0354134651247 |
L(r)(E,1)/r! |
Ω |
0.072868790086983 |
Real period |
R |
17.275617776186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240w5 |
Quadratic twists by: -11 |