Atkin-Lehner |
2+ 11- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72358f |
Isogeny class |
Conductor |
72358 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-1596853452406784 = -1 · 217 · 116 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ -1 -1 1 11- 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,482,1922804] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:394:1] [17:-1400:1] |
Generators of the group modulo torsion |
j |
6967871/901382144 |
j-invariant |
L |
6.5301265932382 |
L(r)(E,1)/r! |
Ω |
0.37602968004941 |
Real period |
R |
4.3414967884729 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
598d1 |
Quadratic twists by: -11 |