Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946s |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4896 |
Modular degree for the optimal curve |
Δ |
-625974 = -1 · 2 · 3 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 -3 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[148:141:64] |
Generators of the group modulo torsion |
j |
506447/2166 |
j-invariant |
L |
8.778759609261 |
L(r)(E,1)/r! |
Ω |
1.4602869693041 |
Real period |
R |
3.0058337141242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838u1 32946y1 |
Quadratic twists by: -3 17 |