Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948bg |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
5155573065552 = 24 · 36 · 76 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7709,-239100] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:153:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
7.2508712807501 |
L(r)(E,1)/r! |
Ω |
0.51284481880861 |
Real period |
R |
0.7854738306558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999479259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652b1 |
Quadratic twists by: -7 |