Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
23856f |
Isogeny class |
Conductor |
23856 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-2200401482496 = -1 · 28 · 3 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 3 1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2828,-42704] |
[a1,a2,a3,a4,a6] |
Generators |
[24:196:1] |
Generators of the group modulo torsion |
j |
9767161833392/8595318291 |
j-invariant |
L |
3.7223763057836 |
L(r)(E,1)/r! |
Ω |
0.45228588545268 |
Real period |
R |
0.45723001823872 |
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 |
11928c1 95424cu1 71568p1 |
Quadratic twists by: -4 8 -3 |