Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800h |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-4287500000000 = -1 · 28 · 511 · 73 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 5 5 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10300,-414500] |
[a1,a2,a3,a4,a6] |
j |
-30211716096/1071875 |
j-invariant |
L |
1.4187539938708 |
L(r)(E,1)/r! |
Ω |
0.23645899897847 |
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 |
1400i1 11200cs1 25200bv1 560b1 |
Quadratic twists by: -4 8 -3 5 |