Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976q |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3898605568 = -1 · 221 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ -2 -4 2 11+ 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,3199] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:64:1] |
Generators of the group modulo torsion |
j |
-28561/88 |
j-invariant |
L |
3.5852468522075 |
L(r)(E,1)/r! |
Ω |
1.2254397386131 |
Real period |
R |
0.73142047126617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976dg1 3718i1 118976bn1 |
Quadratic twists by: -4 8 13 |