Atkin-Lehner |
2- 5- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
23870p |
Isogeny class |
Conductor |
23870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2444444646875000 = 23 · 58 · 7 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48652,-3364521] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:881:1] |
Generators of the group modulo torsion |
j |
12735542153818993041/2444444646875000 |
j-invariant |
L |
8.7434728844328 |
L(r)(E,1)/r! |
Ω |
0.32574439107059 |
Real period |
R |
1.1183964487842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119350d3 |
Quadratic twists by: 5 |