Atkin-Lehner |
2+ 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
70350g |
Isogeny class |
Conductor |
70350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2592000 |
Modular degree for the optimal curve |
Δ |
149644013203125000 = 23 · 35 · 510 · 76 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 3 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6105325,-5808972875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1038411:550702:729] |
Generators of the group modulo torsion |
j |
2577211983031984225/15323546952 |
j-invariant |
L |
4.4864401995358 |
L(r)(E,1)/r! |
Ω |
0.096044500780149 |
Real period |
R |
7.7853497821897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70350dh1 |
Quadratic twists by: 5 |