Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bn |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-12394907929687500 = -1 · 22 · 39 · 510 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-90013,11656031] |
[a1,a2,a3,a4,a6] |
Generators |
[197590:1178803:1000] |
Generators of the group modulo torsion |
j |
-8259232262425/1269238572 |
j-invariant |
L |
7.7891266328905 |
L(r)(E,1)/r! |
Ω |
0.38649859523734 |
Real period |
R |
10.076526446487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49350bh1 |
Quadratic twists by: 5 |