Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605t |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-6347038740875 = -1 · 53 · 73 · 236 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- -1 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3703,-149046] |
[a1,a2,a3,a4,a6] |
Generators |
[161:-1852:1] |
Generators of the group modulo torsion |
j |
-110592/125 |
j-invariant |
L |
1.3985530518482 |
L(r)(E,1)/r! |
Ω |
0.29310546575783 |
Real period |
R |
1.1928752556688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000158971 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129605bh1 245a1 |
Quadratic twists by: -7 -23 |