Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
32946t |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-13472239311936 = -1 · 26 · 33 · 177 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -6 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1728,175137] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:305:1] |
Generators of the group modulo torsion |
j |
23639903/558144 |
j-invariant |
L |
4.5931013721129 |
L(r)(E,1)/r! |
Ω |
0.53004317677967 |
Real period |
R |
0.36106346090664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98838t1 1938i1 |
Quadratic twists by: -3 17 |