Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dc |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
590691619661220 = 22 · 39 · 5 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-286067,-58807889] |
[a1,a2,a3,a4,a6] |
Generators |
[8037666248049241192:382816040846044071707:3288804388080128] |
Generators of the group modulo torsion |
j |
74246873427/16940 |
j-invariant |
L |
12.114538280509 |
L(r)(E,1)/r! |
Ω |
0.20643754182253 |
Real period |
R |
29.341897249184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230e1 6930d1 |
Quadratic twists by: -3 -11 |