Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30276c |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25200 |
Modular degree for the optimal curve |
Δ |
-256963674672 = -1 · 24 · 33 · 296 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,0,24389] |
[a1,a2,a3,a4,a6] |
j |
0 |
j-invariant |
L |
0.78113604070699 |
L(r)(E,1)/r! |
Ω |
0.78113604070266 |
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 |
121104bd1 30276c3 36a1 |
Quadratic twists by: -4 -3 29 |