Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bx |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
141205341614400 = 26 · 37 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-604317,180818624] |
[a1,a2,a3,a4,a6] |
j |
4446542056384/25725 |
j-invariant |
L |
4.1353611365934 |
L(r)(E,1)/r! |
Ω |
0.51692014498797 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560bz1 23520bi1 10080o1 |
Quadratic twists by: -4 -3 -7 |