Atkin-Lehner |
5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124025g |
Isogeny class |
Conductor |
124025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
46896953125 = 57 · 114 · 41 |
Discriminant |
Eigenvalues |
-2 -1 5+ -3 11- -5 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1008,6918] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:104:1] [-18:137:1] |
Generators of the group modulo torsion |
j |
495616/205 |
j-invariant |
L |
4.0940491686094 |
L(r)(E,1)/r! |
Ω |
1.026091053258 |
Real period |
R |
0.33249560400485 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999863351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24805e1 124025k1 |
Quadratic twists by: 5 -11 |