Atkin-Lehner |
2- 3+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
87840bd |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-125511413760 = -1 · 212 · 33 · 5 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 4 0 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5352,-151664] |
[a1,a2,a3,a4,a6] |
j |
-153302174208/1134905 |
j-invariant |
L |
3.3475708583867 |
L(r)(E,1)/r! |
Ω |
0.27896423277147 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840f1 87840b1 |
Quadratic twists by: -4 -3 |