Atkin-Lehner |
3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
33825f |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-33825 = -1 · 3 · 52 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5,10] |
[a1,a2,a3,a4,a6] |
j |
397535/1353 |
j-invariant |
L |
2.6090162647519 |
L(r)(E,1)/r! |
Ω |
2.6090162647593 |
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 |
101475bn1 33825ba1 |
Quadratic twists by: -3 5 |