Atkin-Lehner |
3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33825s |
Isogeny class |
Conductor |
33825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-179215060921875 = -1 · 32 · 56 · 11 · 415 |
Discriminant |
Eigenvalues |
-1 3- 5+ 1 11- 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-288,644067] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4155:1] |
Generators of the group modulo torsion |
j |
-169112377/11469763899 |
j-invariant |
L |
4.7456711960306 |
L(r)(E,1)/r! |
Ω |
0.45444762296748 |
Real period |
R |
5.2213621066407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475bj1 1353a1 |
Quadratic twists by: -3 5 |