Atkin-Lehner |
2- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71920k |
Isogeny class |
Conductor |
71920 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1537920 |
Modular degree for the optimal curve |
Δ |
-40694119616000000 = -1 · 212 · 56 · 295 · 31 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 -1 4 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2385301,-1418785085] |
[a1,a2,a3,a4,a6] |
Generators |
[856511310334740633263866897515913817972275314:60259249561521261857198884455970481952488298875:157575010628688763263216855157862499980367] |
Generators of the group modulo torsion |
j |
-366432104613080203264/9935087796875 |
j-invariant |
L |
8.4526174744665 |
L(r)(E,1)/r! |
Ω |
0.060741154156506 |
Real period |
R |
69.578999541954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4495a1 |
Quadratic twists by: -4 |