Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400bw |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-1136116112947200 = -1 · 211 · 39 · 52 · 7 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 0 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24192,737748] |
[a1,a2,a3,a4,a6] |
Generators |
[324:-6534:1] |
Generators of the group modulo torsion |
j |
30580960408750/22189767831 |
j-invariant |
L |
7.7349452425661 |
L(r)(E,1)/r! |
Ω |
0.31087913938966 |
Real period |
R |
0.27645417498187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200bv1 92400bn1 |
Quadratic twists by: -4 5 |