Atkin-Lehner |
5- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
70525w |
Isogeny class |
Conductor |
70525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-38568359375 = -1 · 59 · 72 · 13 · 31 |
Discriminant |
Eigenvalues |
1 0 5- 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,758,4791] |
[a1,a2,a3,a4,a6] |
Generators |
[209480:4138313:512] |
Generators of the group modulo torsion |
j |
24642171/19747 |
j-invariant |
L |
7.5753589948423 |
L(r)(E,1)/r! |
Ω |
0.74219083479359 |
Real period |
R |
10.206753626968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70525s1 |
Quadratic twists by: 5 |