Atkin-Lehner |
2- 3+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558bt |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-27478110567333888 = -1 · 216 · 38 · 7 · 113 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65029,10187915] |
[a1,a2,a3,a4,a6] |
Generators |
[391:6492:1] |
Generators of the group modulo torsion |
j |
-22849005426675947/20644711170048 |
j-invariant |
L |
6.7802132349477 |
L(r)(E,1)/r! |
Ω |
0.34234294751968 |
Real period |
R |
0.41261093138295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96558o1 |
Quadratic twists by: -11 |