Atkin-Lehner |
2+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
124384g |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2036736 |
Modular degree for the optimal curve |
Δ |
-528486170096807936 = -1 · 212 · 139 · 233 |
Discriminant |
Eigenvalues |
2+ 3 1 0 -3 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-826072,-291093712] |
[a1,a2,a3,a4,a6] |
j |
-1435249152/12167 |
j-invariant |
L |
5.064952955487 |
L(r)(E,1)/r! |
Ω |
0.079139875269935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384h1 124384s1 |
Quadratic twists by: -4 13 |