Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
124384h |
Isogeny class |
Conductor |
124384 |
Conductor |
∏ cp |
12 |
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] |
Generators |
[1521:50531:1] |
Generators of the group modulo torsion |
j |
-1435249152/12167 |
j-invariant |
L |
4.751175227961 |
L(r)(E,1)/r! |
Ω |
0.29434164858873 |
Real period |
R |
1.3451418375906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124384g1 124384t1 |
Quadratic twists by: -4 13 |