Atkin-Lehner |
3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705d |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
2529481739625 = 37 · 53 · 194 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6075,166936] |
[a1,a2,a3,a4,a6] |
Generators |
[8998:296461:8] |
Generators of the group modulo torsion |
j |
34015373377201/3469796625 |
j-invariant |
L |
8.0749740891375 |
L(r)(E,1)/r! |
Ω |
0.78914014784102 |
Real period |
R |
5.1163117928455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235j1 |
Quadratic twists by: -3 |