Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992ds |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-4703698944 = -1 · 214 · 33 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -4 5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144,-3232] |
[a1,a2,a3,a4,a6] |
Generators |
[4228:34737:64] |
Generators of the group modulo torsion |
j |
746496/10633 |
j-invariant |
L |
8.800786668737 |
L(r)(E,1)/r! |
Ω |
0.67185070786717 |
Real period |
R |
6.5496594263451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992q1 31248b1 124992dt1 |
Quadratic twists by: -4 8 -3 |