Atkin-Lehner |
3- 7+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53613c |
Isogeny class |
Conductor |
53613 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-45533459298663 = -1 · 38 · 7 · 232 · 374 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2142,321871] |
[a1,a2,a3,a4,a6] |
j |
1490529343967/62460163647 |
j-invariant |
L |
1.9354139321018 |
L(r)(E,1)/r! |
Ω |
0.48385348322628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17871a1 |
Quadratic twists by: -3 |