Atkin-Lehner |
2+ 3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
97290g |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
42282296265600 = 27 · 312 · 52 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-289350,-59834700] |
[a1,a2,a3,a4,a6] |
Generators |
[681:7314:1] |
Generators of the group modulo torsion |
j |
3675085845971349601/58000406400 |
j-invariant |
L |
3.4191144020922 |
L(r)(E,1)/r! |
Ω |
0.20584675442771 |
Real period |
R |
4.1524997836972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999682636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430bf2 |
Quadratic twists by: -3 |