Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
117325a |
Isogeny class |
Conductor |
117325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
853632 |
Modular degree for the optimal curve |
Δ |
-86244656067578125 = -1 · 58 · 13 · 198 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 -1 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,75020,11689772] |
[a1,a2,a3,a4,a6] |
Generators |
[973952:51659140:343] |
Generators of the group modulo torsion |
j |
175959/325 |
j-invariant |
L |
4.8215746468572 |
L(r)(E,1)/r! |
Ω |
0.23425564614046 |
Real period |
R |
10.291266654177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23465d1 117325k1 |
Quadratic twists by: 5 -19 |