Atkin-Lehner |
2- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
63200o |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1133568 |
Modular degree for the optimal curve |
Δ |
-157772480000000 = -1 · 212 · 57 · 793 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 5 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14305533,20830688437] |
[a1,a2,a3,a4,a6] |
j |
-5058897720777362944/2465195 |
j-invariant |
L |
1.4010549715489 |
L(r)(E,1)/r! |
Ω |
0.35026374448692 |
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 |
63200f1 126400c1 12640a1 |
Quadratic twists by: -4 8 5 |