Atkin-Lehner |
2- 3+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24252b |
Isogeny class |
Conductor |
24252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
142560 |
Modular degree for the optimal curve |
Δ |
5406061824 = 28 · 35 · 432 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 3 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-586757,-172800351] |
[a1,a2,a3,a4,a6] |
j |
87268864516090298368/21117429 |
j-invariant |
L |
1.0349900472836 |
L(r)(E,1)/r! |
Ω |
0.17249834121392 |
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 |
97008bd1 72756e1 |
Quadratic twists by: -4 -3 |