Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656bl |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
19402659903312 = 24 · 34 · 710 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-70919,7242612] |
[a1,a2,a3,a4,a6] |
j |
20956049840128/10307493 |
j-invariant |
L |
2.7052569592301 |
L(r)(E,1)/r! |
Ω |
0.67631425301589 |
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 |
62328k1 17808c1 |
Quadratic twists by: -4 -7 |