Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900ba |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-61068948192000 = -1 · 28 · 315 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21813,1288503] |
[a1,a2,a3,a4,a6] |
Generators |
[93:270:1] |
Generators of the group modulo torsion |
j |
-35870699159552/1908404631 |
j-invariant |
L |
7.6232530761349 |
L(r)(E,1)/r! |
Ω |
0.61580285820239 |
Real period |
R |
0.13754858527991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119700bv1 39900p1 |
Quadratic twists by: -3 5 |