Atkin-Lehner |
2- 5+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520t |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
52498792720 = 24 · 5 · 113 · 793 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 11- 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7466,-245585] |
[a1,a2,a3,a4,a6] |
Generators |
[101:143:1] |
Generators of the group modulo torsion |
j |
2876907209522944/3281174545 |
j-invariant |
L |
5.2631730752543 |
L(r)(E,1)/r! |
Ω |
0.51363244784177 |
Real period |
R |
3.4156545848784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17380a1 |
Quadratic twists by: -4 |