Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842g |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-248945284 = -1 · 22 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -6 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,24,-748] |
[a1,a2,a3,a4,a6] |
Generators |
[8:2:1] |
Generators of the group modulo torsion |
j |
23/4 |
j-invariant |
L |
7.8699698337861 |
L(r)(E,1)/r! |
Ω |
0.82739969848665 |
Real period |
R |
2.3779226195417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1058c1 51842h1 |
Quadratic twists by: -7 -23 |