Atkin-Lehner |
2- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
105754v |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
5280000 |
Modular degree for the optimal curve |
Δ |
4851594856618256384 = 211 · 1111 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 0 -3 -3 11- 3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15089449,-22556969751] |
[a1,a2,a3,a4,a6] |
Generators |
[-2241:1604:1] |
Generators of the group modulo torsion |
j |
214480453297951329273/2738598815744 |
j-invariant |
L |
5.8846148055464 |
L(r)(E,1)/r! |
Ω |
0.07660048938484 |
Real period |
R |
1.7459581083803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9614d1 |
Quadratic twists by: -11 |