Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992ee |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-374976 = -1 · 26 · 33 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -4 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24,54] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] [3:3:1] |
Generators of the group modulo torsion |
j |
-884736/217 |
j-invariant |
L |
10.043066042949 |
L(r)(E,1)/r! |
Ω |
2.8713827212136 |
Real period |
R |
1.7488205201295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992h1 31248bf1 124992ed1 |
Quadratic twists by: -4 8 -3 |