Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512r |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-38872071963648 = -1 · 210 · 311 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -3 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11955,585758] |
[a1,a2,a3,a4,a6] |
Generators |
[194:4455:8] [71:308:1] |
Generators of the group modulo torsion |
j |
-253130786500/52072713 |
j-invariant |
L |
12.737607283274 |
L(r)(E,1)/r! |
Ω |
0.61991091182159 |
Real period |
R |
0.85614501557714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999914296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504p1 |
Quadratic twists by: -3 |