Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3150s |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
38750906250000 = 24 · 311 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38367,-2867459] |
[a1,a2,a3,a4,a6] |
j |
4386781853/27216 |
j-invariant |
L |
1.3649975055529 |
L(r)(E,1)/r! |
Ω |
0.34124937638823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200ey1 100800ht1 1050m1 3150bo1 |
Quadratic twists by: -4 8 -3 5 |