Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184c |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-429153645312 = -1 · 28 · 39 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -5 -4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1836,8748] |
[a1,a2,a3,a4,a6] |
Generators |
[162:1863:8] |
Generators of the group modulo torsion |
j |
135834624/85169 |
j-invariant |
L |
5.8920737139155 |
L(r)(E,1)/r! |
Ω |
0.58431172323261 |
Real period |
R |
1.680630811615 |
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 |
11592h1 92736do1 23184a1 |
Quadratic twists by: -4 8 -3 |