Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
46550ba |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-35639843750 = -1 · 2 · 58 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -6 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383,-8709] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1186:1] |
Generators of the group modulo torsion |
j |
6615/38 |
j-invariant |
L |
2.8186085148679 |
L(r)(E,1)/r! |
Ω |
0.58085479341344 |
Real period |
R |
4.8525183003208 |
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 |
46550bs1 46550bd1 |
Quadratic twists by: 5 -7 |