Atkin-Lehner |
3- 5+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24795g |
Isogeny class |
Conductor |
24795 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-74121072721875 = -1 · 316 · 55 · 19 · 29 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 -2 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12333,-670437] |
[a1,a2,a3,a4,a6] |
Generators |
[3264156274526:-10889495446451:23838140152] |
Generators of the group modulo torsion |
j |
-284578691608576/101674996875 |
j-invariant |
L |
8.9690612766827 |
L(r)(E,1)/r! |
Ω |
0.22252736241684 |
Real period |
R |
20.152715556574 |
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 |
8265b1 123975x1 |
Quadratic twists by: -3 5 |