Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925r |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
2748695398681640625 = 32 · 512 · 79 · 31 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-86523000,-309810403125] |
[a1,a2,a3,a4,a6] |
j |
113609864431873783/4359375 |
j-invariant |
L |
0.099003488414511 |
L(r)(E,1)/r! |
Ω |
0.049501306635048 |
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 |
22785r1 113925cj1 |
Quadratic twists by: 5 -7 |