Atkin-Lehner |
2- 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59696i |
Isogeny class |
Conductor |
59696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-7909481216 = -1 · 28 · 73 · 133 · 41 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -4 13+ 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2525,-48191] |
[a1,a2,a3,a4,a6] |
j |
-6957286383616/30896411 |
j-invariant |
L |
0.67329359259077 |
L(r)(E,1)/r! |
Ω |
0.33664679670084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14924c1 |
Quadratic twists by: -4 |