Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2530g |
Isogeny class |
Conductor |
2530 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-4898080 = -1 · 25 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 11- 0 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28,127] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] |
Generators of the group modulo torsion |
j |
-2347334289/4898080 |
j-invariant |
L |
4.2307661227543 |
L(r)(E,1)/r! |
Ω |
2.1632572866329 |
Real period |
R |
0.13038258398256 |
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 |
20240j1 80960q1 22770t1 12650k1 |
Quadratic twists by: -4 8 -3 5 |