Atkin-Lehner |
3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5115j |
Isogeny class |
Conductor |
5115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
20424195 = 32 · 5 · 114 · 31 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7443,246511] |
[a1,a2,a3,a4,a6] |
j |
45591500845748521/20424195 |
j-invariant |
L |
3.5219922287387 |
L(r)(E,1)/r! |
Ω |
1.7609961143694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840cd4 15345b3 25575d4 56265x4 |
Quadratic twists by: -4 -3 5 -11 |