Atkin-Lehner |
3+ 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
96387f |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-4534611331947 = -1 · 3 · 198 · 89 |
Discriminant |
Eigenvalues |
-2 3+ 2 -4 0 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22502,1310774] |
[a1,a2,a3,a4,a6] |
Generators |
[51:541:1] |
Generators of the group modulo torsion |
j |
-26784575488/96387 |
j-invariant |
L |
2.3386610702533 |
L(r)(E,1)/r! |
Ω |
0.77765132984423 |
Real period |
R |
1.5036694090123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000167293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073h1 |
Quadratic twists by: -19 |