Atkin-Lehner |
3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825o |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
65522146640625 = 34 · 57 · 234 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12213,342792] |
[a1,a2,a3,a4,a6] |
j |
12893563987849/4193417385 |
j-invariant |
L |
2.2878463770784 |
L(r)(E,1)/r! |
Ω |
0.57196159330726 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12765a1 |
Quadratic twists by: 5 |