Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76650a |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
37549915200000000 = 212 · 38 · 58 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-89775,4465125] |
[a1,a2,a3,a4,a6] |
Generators |
[-1890:29295:8] |
Generators of the group modulo torsion |
j |
5121267797319409/2403194572800 |
j-invariant |
L |
3.4876753160624 |
L(r)(E,1)/r! |
Ω |
0.32608595942405 |
Real period |
R |
2.6738925850582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15330z1 |
Quadratic twists by: 5 |