Atkin-Lehner |
2- 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690bl |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
403632458240000 = 212 · 54 · 116 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- -2 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-137640,19619392] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1128:1] |
Generators of the group modulo torsion |
j |
162780279643801/227840000 |
j-invariant |
L |
7.1210756410669 |
L(r)(E,1)/r! |
Ω |
0.53174417531534 |
Real period |
R |
0.27899834034087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008313 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890e1 |
Quadratic twists by: -11 |