Atkin-Lehner |
2+ 11- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
46904l |
Isogeny class |
Conductor |
46904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1596008786944 = -1 · 210 · 113 · 134 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -1 -1 11- 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19856,1072048] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1352:1] [-12:1144:1] |
Generators of the group modulo torsion |
j |
-845514227668036/1558602331 |
j-invariant |
L |
6.4471559868162 |
L(r)(E,1)/r! |
Ω |
0.84517098761829 |
Real period |
R |
0.31784278375157 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808m1 |
Quadratic twists by: -4 |