Atkin-Lehner |
2- 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
67860i |
Isogeny class |
Conductor |
67860 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
22330181250000 = 24 · 36 · 58 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12828,-510923] |
[a1,a2,a3,a4,a6] |
j |
20014882963456/1914453125 |
j-invariant |
L |
0.90271071117405 |
L(r)(E,1)/r! |
Ω |
0.45135535850773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7540f1 |
Quadratic twists by: -3 |