Atkin-Lehner |
2- 3- 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
47400bc |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311680 |
Modular degree for the optimal curve |
Δ |
-948000000000 = -1 · 211 · 3 · 59 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-652208,202517088] |
[a1,a2,a3,a4,a6] |
Generators |
[100878:8875:216] |
Generators of the group modulo torsion |
j |
-7670483700154/237 |
j-invariant |
L |
5.5309317702909 |
L(r)(E,1)/r! |
Ω |
0.6470600386439 |
Real period |
R |
4.2738937965419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800l1 47400d1 |
Quadratic twists by: -4 5 |