Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800f |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-53593750000 = -1 · 24 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -1 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,625,-9375] |
[a1,a2,a3,a4,a6] |
j |
172800/343 |
j-invariant |
L |
1.7537220152468 |
L(r)(E,1)/r! |
Ω |
0.58457400508227 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1400g1 11200ci1 25200bo1 2800i1 |
Quadratic twists by: -4 8 -3 5 |