Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800bg |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-256901120000 = -1 · 223 · 54 · 72 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 5 -6 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2875,-64150] |
[a1,a2,a3,a4,a6] |
j |
-1026590625/100352 |
j-invariant |
L |
3.890348732314 |
L(r)(E,1)/r! |
Ω |
0.32419572769284 |
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 |
350f1 11200dj1 25200fv1 2800r1 |
Quadratic twists by: -4 8 -3 5 |