Atkin-Lehner |
3+ 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
77025b |
Isogeny class |
Conductor |
77025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
4620777890625 = 36 · 57 · 13 · 792 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25338,1538406] |
[a1,a2,a3,a4,a6] |
Generators |
[16:1058:1] |
Generators of the group modulo torsion |
j |
115138814303449/295729785 |
j-invariant |
L |
3.0611852287587 |
L(r)(E,1)/r! |
Ω |
0.77523227333926 |
Real period |
R |
0.98718323967021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001277 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15405f1 |
Quadratic twists by: 5 |