Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bm |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
8570037769261056 = 212 · 312 · 11 · 713 |
Discriminant |
Eigenvalues |
2- 3- -1 5 11- 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-64848,4534576] |
[a1,a2,a3,a4,a6] |
Generators |
[-2030:17253:8] |
Generators of the group modulo torsion |
j |
10100107472896/2870088309 |
j-invariant |
L |
8.3220243772227 |
L(r)(E,1)/r! |
Ω |
0.38431651776557 |
Real period |
R |
1.8045074793627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7029c1 37488w1 |
Quadratic twists by: -4 -3 |