Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215bb |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7375872 |
Modular degree for the optimal curve |
Δ |
3.5995479726302E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13456797,18972763776] |
[a1,a2,a3,a4,a6] |
Generators |
[1135184756720:-102588660535719:122023936] |
Generators of the group modulo torsion |
j |
1383586741207/1848015 |
j-invariant |
L |
5.9912877325737 |
L(r)(E,1)/r! |
Ω |
0.16969108747866 |
Real period |
R |
17.653513378748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999440126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124215cc1 9555d1 |
Quadratic twists by: -7 13 |