Atkin-Lehner |
2- 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bz |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8661865332105216 = 213 · 316 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4194272,-3304828800] |
[a1,a2,a3,a4,a6] |
Generators |
[70734:1637990:27] |
Generators of the group modulo torsion |
j |
1992203236344109132513/2114713215846 |
j-invariant |
L |
8.2264165178272 |
L(r)(E,1)/r! |
Ω |
0.10549586220297 |
Real period |
R |
9.7473212802628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.00000000816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398bf4 |
Quadratic twists by: -4 |