Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34983o |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-123096212991063 = -1 · 38 · 138 · 23 |
Discriminant |
Eigenvalues |
-1 3- -4 -2 2 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,533810] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-779:1] |
Generators of the group modulo torsion |
j |
-1/34983 |
j-invariant |
L |
2.2996029001451 |
L(r)(E,1)/r! |
Ω |
0.46727933619738 |
Real period |
R |
1.2303148898363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11661k1 2691f1 |
Quadratic twists by: -3 13 |