Atkin-Lehner |
2+ 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680bc |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
413949952000 = 216 · 53 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5- -5 0 13- -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6412,195184] |
[a1,a2,a3,a4,a6] |
Generators |
[118:-1040:1] [-90:208:1] |
Generators of the group modulo torsion |
j |
444860988516/6316375 |
j-invariant |
L |
6.1592747192198 |
L(r)(E,1)/r! |
Ω |
0.94773336732633 |
Real period |
R |
0.18052647538044 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680bx1 11960b1 |
Quadratic twists by: -4 8 |