Atkin-Lehner |
2+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
26600c |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
199554031250000 = 24 · 59 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54050,4788625] |
[a1,a2,a3,a4,a6] |
Generators |
[-260:1125:1] [-216:2527:1] |
Generators of the group modulo torsion |
j |
69850705729536/798216125 |
j-invariant |
L |
7.5345537500279 |
L(r)(E,1)/r! |
Ω |
0.56704376008629 |
Real period |
R |
3.3218572711576 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53200m1 5320h1 |
Quadratic twists by: -4 5 |