Atkin-Lehner |
2+ 3- 7- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23142q |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4116621334896 = -1 · 24 · 34 · 78 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2272,105950] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:269:1] [-35:395:1] |
Generators of the group modulo torsion |
j |
-1296205575138937/4116621334896 |
j-invariant |
L |
6.1355060436459 |
L(r)(E,1)/r! |
Ω |
0.68539728547019 |
Real period |
R |
0.55948445647081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426bx1 |
Quadratic twists by: -3 |