Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925ch |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
458011187574609375 = 38 · 58 · 78 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-248105401,-1504209784927] |
[a1,a2,a3,a4,a6] |
j |
918806584975140864241/249153975 |
j-invariant |
L |
5.4777603072152 |
L(r)(E,1)/r! |
Ω |
0.038039999299232 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785c4 16275b4 |
Quadratic twists by: 5 -7 |