Atkin-Lehner |
2- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23188c |
Isogeny class |
Conductor |
23188 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
1484032 = 28 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -1 0 -5 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,-311] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] |
Generators of the group modulo torsion |
j |
351232000/5797 |
j-invariant |
L |
2.4018275832124 |
L(r)(E,1)/r! |
Ω |
1.5375349664327 |
Real period |
R |
0.52070958507151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92752m1 |
Quadratic twists by: -4 |