Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360p |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-13592294144000 = -1 · 211 · 53 · 11 · 136 |
Discriminant |
Eigenvalues |
2- 3 5+ -1 11- 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11323,-496522] |
[a1,a2,a3,a4,a6] |
Generators |
[36270900951734514:1052247417193158056:42395374656909] |
Generators of the group modulo torsion |
j |
-16241202/1375 |
j-invariant |
L |
11.595611315634 |
L(r)(E,1)/r! |
Ω |
0.23029400521663 |
Real period |
R |
25.17566904255 |
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 |
440d1 |
Quadratic twists by: 13 |