Atkin-Lehner |
2+ 3+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32946b |
Isogeny class |
Conductor |
32946 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
374228869776 = 24 · 3 · 177 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6219,-189075] |
[a1,a2,a3,a4,a6] |
Generators |
[-5270:5141:125] |
Generators of the group modulo torsion |
j |
1102302937/15504 |
j-invariant |
L |
3.240932692718 |
L(r)(E,1)/r! |
Ω |
0.53805928983139 |
Real period |
R |
6.0233746614316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98838bh1 1938f1 |
Quadratic twists by: -3 17 |