Atkin-Lehner |
3- 5+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31395p |
Isogeny class |
Conductor |
31395 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
154112 |
Modular degree for the optimal curve |
Δ |
40389410531925 = 38 · 52 · 77 · 13 · 23 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9716,202676] |
[a1,a2,a3,a4,a6] |
Generators |
[7:367:1] |
Generators of the group modulo torsion |
j |
101445065912111104/40389410531925 |
j-invariant |
L |
3.673348073356 |
L(r)(E,1)/r! |
Ω |
0.58628326958244 |
Real period |
R |
0.055941815768208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94185bg1 |
Quadratic twists by: -3 |