Atkin-Lehner |
2- 3- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83628c |
Isogeny class |
Conductor |
83628 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
187200 |
Modular degree for the optimal curve |
Δ |
-765824821975152 = -1 · 24 · 36 · 235 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 -1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21075,621281] |
[a1,a2,a3,a4,a6] |
j |
88752164000000/65657134943 |
j-invariant |
L |
2.5769773906218 |
L(r)(E,1)/r! |
Ω |
0.32212217728955 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9292b1 |
Quadratic twists by: -3 |