Atkin-Lehner |
2- 3- 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
63630br |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
5566352400 = 24 · 39 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-89492,10326759] |
[a1,a2,a3,a4,a6] |
Generators |
[2477:121161:1] |
Generators of the group modulo torsion |
j |
108728720185688569/7635600 |
j-invariant |
L |
10.644345359273 |
L(r)(E,1)/r! |
Ω |
1.0270829552116 |
Real period |
R |
5.1818333198135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21210d1 |
Quadratic twists by: -3 |