Atkin-Lehner |
2+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45496a |
Isogeny class |
Conductor |
45496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-937878565888 = -1 · 210 · 117 · 47 |
Discriminant |
Eigenvalues |
2+ 0 0 -1 11- -5 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-773795,-261991378] |
[a1,a2,a3,a4,a6] |
Generators |
[1303:30692:1] |
Generators of the group modulo torsion |
j |
-28245248626500/517 |
j-invariant |
L |
4.160632757646 |
L(r)(E,1)/r! |
Ω |
0.080484653513276 |
Real period |
R |
6.4618417549524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90992a1 4136c1 |
Quadratic twists by: -4 -11 |