Atkin-Lehner |
5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
2485c |
Isogeny class |
Conductor |
2485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-43581032915 = -1 · 5 · 73 · 714 |
Discriminant |
Eigenvalues |
0 -1 5- 7+ 1 -1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,755,5848] |
[a1,a2,a3,a4,a6] |
Generators |
[32:248:1] |
Generators of the group modulo torsion |
j |
47532342247424/43581032915 |
j-invariant |
L |
2.2766769768659 |
L(r)(E,1)/r! |
Ω |
0.74522851905411 |
Real period |
R |
0.76375129193782 |
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 |
39760bd1 22365c1 12425f1 17395g1 |
Quadratic twists by: -4 -3 5 -7 |