Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bf |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-292989304832 = -1 · 217 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -2 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,35839] |
[a1,a2,a3,a4,a6] |
Generators |
[3:176:1] |
Generators of the group modulo torsion |
j |
-31250/19 |
j-invariant |
L |
7.0947028674203 |
L(r)(E,1)/r! |
Ω |
0.90060258798201 |
Real period |
R |
1.9694321784972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584ck1 7448d1 1216c1 |
Quadratic twists by: -4 8 -7 |