Atkin-Lehner |
2- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
100820b |
Isogeny class |
Conductor |
100820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-11641753802740480 = -1 · 28 · 5 · 717 |
Discriminant |
Eigenvalues |
2- 2 5- -3 4 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26885,-5452495] |
[a1,a2,a3,a4,a6] |
j |
-65536/355 |
j-invariant |
L |
3.0173266307507 |
L(r)(E,1)/r! |
Ω |
0.16762927376603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1420b1 |
Quadratic twists by: -71 |