Atkin-Lehner |
5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2645c |
Isogeny class |
Conductor |
2645 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5280 |
Modular degree for the optimal curve |
Δ |
-10640079521875 = -1 · 55 · 237 |
Discriminant |
Eigenvalues |
2 0 5- -1 -2 -2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3703,130795] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:2641:8] |
Generators of the group modulo torsion |
j |
37933056/71875 |
j-invariant |
L |
5.8573499764307 |
L(r)(E,1)/r! |
Ω |
0.49664530287715 |
Real period |
R |
0.58969147019998 |
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 |
42320s1 23805p1 13225f1 129605m1 |
Quadratic twists by: -4 -3 5 -7 |