Atkin-Lehner |
2- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23920h |
Isogeny class |
Conductor |
23920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-25081937920 = -1 · 224 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,157,-7582] |
[a1,a2,a3,a4,a6] |
Generators |
[44076:197155:1728] |
Generators of the group modulo torsion |
j |
104487111/6123520 |
j-invariant |
L |
4.935486521496 |
L(r)(E,1)/r! |
Ω |
0.57032851777916 |
Real period |
R |
8.6537607144644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2990a1 95680bz1 119600bb1 |
Quadratic twists by: -4 8 5 |