Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69384o |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
460782665376768 = 210 · 33 · 710 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 4 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19616,-233808] |
[a1,a2,a3,a4,a6] |
Generators |
[8563:792330:1] |
Generators of the group modulo torsion |
j |
6929294404/3824793 |
j-invariant |
L |
11.500386373529 |
L(r)(E,1)/r! |
Ω |
0.43179747591174 |
Real period |
R |
4.4389584678583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000817 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912c1 |
Quadratic twists by: -7 |