Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bh |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-9136831414054400000 = -1 · 212 · 55 · 711 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-164901,147751885] |
[a1,a2,a3,a4,a6] |
Generators |
[76:11647:1] |
Generators of the group modulo torsion |
j |
-1029077364736/18960396875 |
j-invariant |
L |
4.0814441663582 |
L(r)(E,1)/r! |
Ω |
0.19454251312281 |
Real period |
R |
5.2449257753492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655k1 10640y1 |
Quadratic twists by: -4 -7 |