Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136x |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
3688436736 = 210 · 310 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-624,-5240] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1575:1] |
Generators of the group modulo torsion |
j |
35995648/4941 |
j-invariant |
L |
7.5555743825589 |
L(r)(E,1)/r! |
Ω |
0.96391611175592 |
Real period |
R |
3.919207434346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136cn1 2196d1 11712o1 |
Quadratic twists by: -4 8 -3 |