Atkin-Lehner |
2+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56350i |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2875392 |
Modular degree for the optimal curve |
Δ |
6262529800625000000 = 26 · 510 · 77 · 233 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -6 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2255251,-1298203602] |
[a1,a2,a3,a4,a6] |
j |
690080604747409/3406760000 |
j-invariant |
L |
0.49293526705789 |
L(r)(E,1)/r! |
Ω |
0.12323381717755 |
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 |
11270u1 8050c1 |
Quadratic twists by: 5 -7 |