Atkin-Lehner |
5+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
33325a |
Isogeny class |
Conductor |
33325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-62549462890625 = -1 · 511 · 313 · 43 |
Discriminant |
Eigenvalues |
-1 -1 5+ -2 3 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3437,-371094] |
[a1,a2,a3,a4,a6] |
j |
287365339799/4003165625 |
j-invariant |
L |
0.60934622300863 |
L(r)(E,1)/r! |
Ω |
0.30467311150811 |
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 |
6665a1 |
Quadratic twists by: 5 |