Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
23850bz |
Isogeny class |
Conductor |
23850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-286200 = -1 · 23 · 33 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 1 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20,47] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] |
Generators of the group modulo torsion |
j |
-1250235/424 |
j-invariant |
L |
7.0332011315015 |
L(r)(E,1)/r! |
Ω |
2.9079602930101 |
Real period |
R |
0.40310047953585 |
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 |
23850c1 23850j1 |
Quadratic twists by: -3 5 |