Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
120516i |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
842400 |
Modular degree for the optimal curve |
Δ |
-60013710643417344 = -1 · 28 · 313 · 116 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 0 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19804,11744148] |
[a1,a2,a3,a4,a6] |
Generators |
[-197:486:1] |
Generators of the group modulo torsion |
j |
1893932336/132328809 |
j-invariant |
L |
8.8332492281332 |
L(r)(E,1)/r! |
Ω |
0.26792737183703 |
Real period |
R |
2.5360630714967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999455077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
996b1 |
Quadratic twists by: -11 |