Atkin-Lehner |
2- 3+ 7- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378bb |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-74310264 = -1 · 23 · 33 · 73 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -4 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-53,453] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] |
Generators of the group modulo torsion |
j |
-599077107/2752232 |
j-invariant |
L |
11.044355399067 |
L(r)(E,1)/r! |
Ω |
1.685699939436 |
Real period |
R |
0.36398844510293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378d1 |
Quadratic twists by: -3 |