Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715m |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15166746384689025 = 36 · 52 · 72 · 198 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-62340,-869869] |
[a1,a2,a3,a4,a6] |
Generators |
[-908:7339:64] |
Generators of the group modulo torsion |
j |
781229961/442225 |
j-invariant |
L |
8.3224493067533 |
L(r)(E,1)/r! |
Ω |
0.32586716255998 |
Real period |
R |
6.3848480999026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999663397 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12635c2 5985i2 |
Quadratic twists by: -3 -19 |