Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712ba |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
287712 |
Modular degree for the optimal curve |
Δ |
-1517391124093872 = -1 · 24 · 33 · 378 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -2 -3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67537,6988238] |
[a1,a2,a3,a4,a6] |
Generators |
[4098:13690:27] |
Generators of the group modulo torsion |
j |
-606208/27 |
j-invariant |
L |
10.088106726777 |
L(r)(E,1)/r! |
Ω |
0.47253076590604 |
Real period |
R |
2.3721222578934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16428b1 65712bc1 |
Quadratic twists by: -4 37 |