Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300x |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
19049472 |
Modular degree for the optimal curve |
Δ |
-8.1225771761291E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1657790280,25980204035700] |
[a1,a2,a3,a4,a6] |
Generators |
[201330:3565485:8] |
Generators of the group modulo torsion |
j |
-799965408846201776676864/128959272851717 |
j-invariant |
L |
7.093114798639 |
L(r)(E,1)/r! |
Ω |
0.084908626832374 |
Real period |
R |
0.53550135367663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69300u1 69300r1 |
Quadratic twists by: -3 5 |