Atkin-Lehner |
3- 5+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34515d |
Isogeny class |
Conductor |
34515 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-470408753221875 = -1 · 39 · 55 · 133 · 592 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 -1 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-117948,-15626241] |
[a1,a2,a3,a4,a6] |
Generators |
[3431:199921:1] |
Generators of the group modulo torsion |
j |
-248924662605807616/645279496875 |
j-invariant |
L |
4.3638642277463 |
L(r)(E,1)/r! |
Ω |
0.12878920899605 |
Real period |
R |
4.2354715330618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11505e1 |
Quadratic twists by: -3 |