Atkin-Lehner |
3- 5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395o |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
5561530065 = 312 · 5 · 7 · 13 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-461,-1320] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:55:1] |
Generators of the group modulo torsion |
j |
10836408452689/5561530065 |
j-invariant |
L |
4.384398757029 |
L(r)(E,1)/r! |
Ω |
1.0887858481889 |
Real period |
R |
1.3422899046438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94185be1 |
Quadratic twists by: -3 |