Atkin-Lehner |
2- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115640x |
Isogeny class |
Conductor |
115640 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-560500650416000000 = -1 · 210 · 56 · 72 · 595 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 2 0 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,200520,-10216100] |
[a1,a2,a3,a4,a6] |
j |
17770457033054684/11170692171875 |
j-invariant |
L |
2.0116630091985 |
L(r)(E,1)/r! |
Ω |
0.16763854472417 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115640l1 |
Quadratic twists by: -7 |