Atkin-Lehner |
2+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960be |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-89816490311680 = -1 · 227 · 5 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 2 5- -1 11- -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11265,-644095] |
[a1,a2,a3,a4,a6] |
j |
-603136942849/342622720 |
j-invariant |
L |
2.7092729087976 |
L(r)(E,1)/r! |
Ω |
0.22577274398565 |
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 |
80960bx1 2530f1 |
Quadratic twists by: -4 8 |