Atkin-Lehner |
2+ 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360c |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4432320 |
Modular degree for the optimal curve |
Δ |
-1.800594140625E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288481096,-1885938192980] |
[a1,a2,a3,a4,a6] |
j |
-1296420349508030865803093138/87919635772705078125 |
j-invariant |
L |
1.3737247262219 |
L(r)(E,1)/r! |
Ω |
0.01831632968296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48720s1 73080bj1 121800bx1 |
Quadratic twists by: -4 -3 5 |