Atkin-Lehner |
2- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33934j |
Isogeny class |
Conductor |
33934 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-252744021945728 = -1 · 27 · 197 · 472 |
Discriminant |
Eigenvalues |
2- -3 0 1 0 -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13650,452925] |
[a1,a2,a3,a4,a6] |
Generators |
[5:719:1] |
Generators of the group modulo torsion |
j |
5979018375/5372288 |
j-invariant |
L |
5.3951640831322 |
L(r)(E,1)/r! |
Ω |
0.36125348204869 |
Real period |
R |
0.26668868414461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786c1 |
Quadratic twists by: -19 |