Atkin-Lehner |
2+ 3- 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378j |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
-12784635059616 = -1 · 25 · 39 · 73 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 5 -5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10701,-456827] |
[a1,a2,a3,a4,a6] |
Generators |
[137:728:1] |
Generators of the group modulo torsion |
j |
-185905442648017/17537222304 |
j-invariant |
L |
2.473225166195 |
L(r)(E,1)/r! |
Ω |
0.23344700336518 |
Real period |
R |
1.3242968818335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000231099 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126p1 |
Quadratic twists by: -3 |