Atkin-Lehner |
2- 3+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856p |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-57278256 = -1 · 24 · 3 · 75 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -3 5 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105,588] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
-8077950976/3579891 |
j-invariant |
L |
4.3997345672533 |
L(r)(E,1)/r! |
Ω |
1.8540026417998 |
Real period |
R |
2.3731004843565 |
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 |
5964d1 95424ce1 71568bh1 |
Quadratic twists by: -4 8 -3 |