Atkin-Lehner |
3+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327c |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
-5.5191528870272E+19 |
Discriminant |
Eigenvalues |
2 3+ -2 7+ -1 0 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1813941,1005976685] |
[a1,a2,a3,a4,a6] |
j |
-226534772736/18941489 |
j-invariant |
L |
0.77877507250122 |
L(r)(E,1)/r! |
Ω |
0.19469376812739 |
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 |
33327d1 1449a1 |
Quadratic twists by: -3 -23 |