Atkin-Lehner |
2+ 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46354j |
Isogeny class |
Conductor |
46354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
157696 |
Modular degree for the optimal curve |
Δ |
-36113088562012 = -1 · 22 · 79 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-108152,-13665940] |
[a1,a2,a3,a4,a6] |
Generators |
[1931081:9378139:4913] |
Generators of the group modulo torsion |
j |
-3466947585375/894916 |
j-invariant |
L |
4.1680611316115 |
L(r)(E,1)/r! |
Ω |
0.1316297349834 |
Real period |
R |
7.9162605852891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46354k1 |
Quadratic twists by: -7 |