Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160u |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1445429012855788800 = 28 · 32 · 52 · 714 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-828476,284148924] |
[a1,a2,a3,a4,a6] |
Generators |
[274:8820:1] |
Generators of the group modulo torsion |
j |
245654128186873737424/5646207081467925 |
j-invariant |
L |
7.9536097527525 |
L(r)(E,1)/r! |
Ω |
0.26893710724543 |
Real period |
R |
1.0562227506711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080r2 |
Quadratic twists by: -4 |