Atkin-Lehner |
2+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30682c |
Isogeny class |
Conductor |
30682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1757184 |
Modular degree for the optimal curve |
Δ |
-1.6269417178332E+20 |
Discriminant |
Eigenvalues |
2+ 1 3 4 3 5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1222243,325840312] |
[a1,a2,a3,a4,a6] |
j |
1364048721284327/1099018439936 |
j-invariant |
L |
4.2169245888829 |
L(r)(E,1)/r! |
Ω |
0.11713679413563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1334c1 |
Quadratic twists by: -23 |