Atkin-Lehner |
3- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128877s |
Isogeny class |
Conductor |
128877 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-5760815174331 = -1 · 3 · 74 · 17 · 196 |
Discriminant |
Eigenvalues |
0 3- 1 7- -5 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1925,119327] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:388:1] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
7.7409963190048 |
L(r)(E,1)/r! |
Ω |
0.65198491169107 |
Real period |
R |
2.9682421391554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999523381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
357b1 |
Quadratic twists by: -19 |