Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bi |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-11654121701600000 = -1 · 28 · 55 · 79 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 5 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-215861,39021865] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:6517:1] |
Generators of the group modulo torsion |
j |
-107677745152/1128125 |
j-invariant |
L |
5.4695613473276 |
L(r)(E,1)/r! |
Ω |
0.40422466367601 |
Real period |
R |
1.6913742030446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18620f1 74480cs1 |
Quadratic twists by: -4 -7 |