Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925ch |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3833856 |
Modular degree for the optimal curve |
Δ |
-7.3915717705028E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-802401,-497699177] |
[a1,a2,a3,a4,a6] |
j |
-31080575499121/40209486975 |
j-invariant |
L |
5.4777603072152 |
L(r)(E,1)/r! |
Ω |
0.076079998598465 |
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 |
22785c1 16275b1 |
Quadratic twists by: 5 -7 |