Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984ds |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-877893781008384 = -1 · 212 · 37 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33189,2718099] |
[a1,a2,a3,a4,a6] |
Generators |
[30:1323:1] |
Generators of the group modulo torsion |
j |
-8390176768/1821771 |
j-invariant |
L |
9.2107871518725 |
L(r)(E,1)/r! |
Ω |
0.47735750308728 |
Real period |
R |
1.378240341329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499g1 119952fq1 5712l1 |
Quadratic twists by: -4 -3 -7 |