Atkin-Lehner |
2- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
28880bb |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-2301498490880000 = -1 · 229 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 3 -2 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,26480,1614100] |
[a1,a2,a3,a4,a6] |
Generators |
[450:10240:1] |
Generators of the group modulo torsion |
j |
73087061741/81920000 |
j-invariant |
L |
7.6615078759068 |
L(r)(E,1)/r! |
Ω |
0.30645636156922 |
Real period |
R |
0.78126007858384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3610i1 115520bo1 28880bc1 |
Quadratic twists by: -4 8 -19 |