Atkin-Lehner |
5+ 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21775c |
Isogeny class |
Conductor |
21775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-18687373046875 = -1 · 510 · 134 · 67 |
Discriminant |
Eigenvalues |
0 0 5+ 0 -2 13- 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2500,-202344] |
[a1,a2,a3,a4,a6] |
j |
176947200/1913587 |
j-invariant |
L |
1.3555845128567 |
L(r)(E,1)/r! |
Ω |
0.33889612821417 |
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 |
21775g1 |
Quadratic twists by: 5 |