Atkin-Lehner |
2- 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61712o |
Isogeny class |
Conductor |
61712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-411829354496 = -1 · 214 · 74 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -3 -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1848,-3724] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-266:1] |
Generators of the group modulo torsion |
j |
170307838007/100544276 |
j-invariant |
L |
4.1671189534104 |
L(r)(E,1)/r! |
Ω |
0.55428912598364 |
Real period |
R |
0.46987198982199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7714b1 |
Quadratic twists by: -4 |