Atkin-Lehner |
2+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330k |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-64904458911875000 = -1 · 23 · 57 · 117 · 732 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 11- 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134635,22656541] |
[a1,a2,a3,a4,a6] |
Generators |
[355:4239:1] |
Generators of the group modulo torsion |
j |
-152350309096929/36636875000 |
j-invariant |
L |
2.3577178755351 |
L(r)(E,1)/r! |
Ω |
0.3325221626141 |
Real period |
R |
0.88630102767125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8030h1 |
Quadratic twists by: -11 |