Atkin-Lehner |
2- 3- 7+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574bd |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
89088 |
Modular degree for the optimal curve |
Δ |
348677784 = 23 · 38 · 7 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -5 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-464,-3621] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:15:1] |
Generators of the group modulo torsion |
j |
15124197817/478296 |
j-invariant |
L |
5.3683651440527 |
L(r)(E,1)/r! |
Ω |
1.0308234292282 |
Real period |
R |
0.86797360562001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999484086 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39858b1 |
Quadratic twists by: -3 |