Atkin-Lehner |
2- 3- 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
52614n |
Isogeny class |
Conductor |
52614 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
4373760 |
Modular degree for the optimal curve |
Δ |
-2.1616667550008E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -1 4 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15587069,-23787664059] |
[a1,a2,a3,a4,a6] |
j |
-574499336502915528012937/2965249320988704768 |
j-invariant |
L |
2.582577133461 |
L(r)(E,1)/r! |
Ω |
0.03797907548815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17538d1 |
Quadratic twists by: -3 |