Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162t |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-108762266477304 = -1 · 23 · 37 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11- 4 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8190,579244] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-568:1] |
Generators of the group modulo torsion |
j |
-47045881/84216 |
j-invariant |
L |
4.2692282637195 |
L(r)(E,1)/r! |
Ω |
0.5308665458877 |
Real period |
R |
1.0052498826822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21054ba1 5742y1 |
Quadratic twists by: -3 -11 |