Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880p |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-4507666695946240000 = -1 · 218 · 54 · 317 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1015136,-406370560] |
[a1,a2,a3,a4,a6] |
Generators |
[7997254977138191480496:-308554946240552026993088:3856590416818984599] |
Generators of the group modulo torsion |
j |
-31824875809/1240000 |
j-invariant |
L |
9.1708933896916 |
L(r)(E,1)/r! |
Ω |
0.075032138831227 |
Real period |
R |
30.556550611823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9610b1 2480l1 |
Quadratic twists by: -4 -31 |