Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
12402m |
Isogeny class |
Conductor |
12402 |
Conductor |
∏ cp |
232 |
Product of Tamagawa factors cp |
deg |
415744 |
Modular degree for the optimal curve |
Δ |
-5331988337714528256 = -1 · 229 · 38 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 5 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1606874,792242457] |
[a1,a2,a3,a4,a6] |
Generators |
[2609:-121113:1] |
Generators of the group modulo torsion |
j |
-629421250658359789657/7314112946110464 |
j-invariant |
L |
5.1739371599031 |
L(r)(E,1)/r! |
Ω |
0.24251299529482 |
Real period |
R |
0.091959827754106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99216bt1 4134b1 |
Quadratic twists by: -4 -3 |