Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35136cf |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-728580096 = -1 · 214 · 36 · 61 |
Discriminant |
Eigenvalues |
2- 3- -3 3 1 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[0:36:1] |
Generators of the group modulo torsion |
j |
432/61 |
j-invariant |
L |
5.2312590043585 |
L(r)(E,1)/r! |
Ω |
1.2340836606964 |
Real period |
R |
1.059745617531 |
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 |
35136s1 8784z1 3904h1 |
Quadratic twists by: -4 8 -3 |