Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
5115g |
Isogeny class |
Conductor |
5115 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-192656475 = -1 · 36 · 52 · 11 · 312 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 11+ 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29,-673] |
[a1,a2,a3,a4,a6] |
Generators |
[21:79:1] |
Generators of the group modulo torsion |
j |
-2565726409/192656475 |
j-invariant |
L |
4.8867672476386 |
L(r)(E,1)/r! |
Ω |
0.78999923461365 |
Real period |
R |
1.0309645531974 |
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 |
81840br2 15345k2 25575c2 56265v2 |
Quadratic twists by: -4 -3 5 -11 |