Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
118300m |
Isogeny class |
Conductor |
118300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
3325571003372800 = 28 · 52 · 72 · 139 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -2 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-732333,-240958823] |
[a1,a2,a3,a4,a6] |
Generators |
[-497:14:1] |
Generators of the group modulo torsion |
j |
640000000/49 |
j-invariant |
L |
5.2784481807379 |
L(r)(E,1)/r! |
Ω |
0.16320157635518 |
Real period |
R |
2.6952600492589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999840907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118300bp1 118300bb1 |
Quadratic twists by: 5 13 |