Atkin-Lehner |
3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28665bg |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
120465807064785 = 38 · 5 · 710 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12578,129336] |
[a1,a2,a3,a4,a6] |
j |
2565726409/1404585 |
j-invariant |
L |
1.0251709541425 |
L(r)(E,1)/r! |
Ω |
0.51258547707108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555k1 4095k1 |
Quadratic twists by: -3 -7 |