Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090da |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6216326011605780 = 22 · 34 · 5 · 72 · 238 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-118473485771,15695660285539005] |
[a1,a2,a3,a4,a6] |
Generators |
[436596082:-218295485:2197] |
Generators of the group modulo torsion |
j |
1242282009445982549834550082561/41992020 |
j-invariant |
L |
12.563438643531 |
L(r)(E,1)/r! |
Ω |
0.067012144410208 |
Real period |
R |
5.8587508426464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000008101 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830bi5 |
Quadratic twists by: -23 |