Atkin-Lehner |
5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59675i |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-21527779560546875 = -1 · 510 · 7 · 11 · 315 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11- -6 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-87708,-12209682] |
[a1,a2,a3,a4,a6] |
j |
-7640930406400/2204444627 |
j-invariant |
L |
0.68335819440821 |
L(r)(E,1)/r! |
Ω |
0.13667163947446 |
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 |
59675o1 |
Quadratic twists by: 5 |