Atkin-Lehner |
2+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5474a |
Isogeny class |
Conductor |
5474 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8115872565248 = 211 · 72 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -2 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9611,-333371] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:103:1] |
Generators of the group modulo torsion |
j |
98187196835199753/8115872565248 |
j-invariant |
L |
3.0743149745463 |
L(r)(E,1)/r! |
Ω |
0.48470960300223 |
Real period |
R |
3.1712957155217 |
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 |
43792j2 49266bu2 38318g2 93058f2 |
Quadratic twists by: -4 -3 -7 17 |