Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69090bm |
Isogeny class |
Conductor |
69090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15069851736686250 = 2 · 3 · 54 · 77 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6862255,6916218875] |
[a1,a2,a3,a4,a6] |
Generators |
[12494:20699:8] |
Generators of the group modulo torsion |
j |
303763811101948175329/128091626250 |
j-invariant |
L |
8.5965793294358 |
L(r)(E,1)/r! |
Ω |
0.32047241355557 |
Real period |
R |
3.3530886613195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870s3 |
Quadratic twists by: -7 |