Atkin-Lehner |
5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2015b |
Isogeny class |
Conductor |
2015 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-1064171875 = -1 · 56 · 133 · 31 |
Discriminant |
Eigenvalues |
0 -2 5+ -4 3 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1201,-16504] |
[a1,a2,a3,a4,a6] |
Generators |
[92:812:1] |
Generators of the group modulo torsion |
j |
-191740693970944/1064171875 |
j-invariant |
L |
1.4533869992496 |
L(r)(E,1)/r! |
Ω |
0.40533075809886 |
Real period |
R |
0.59761358273859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32240k2 128960p2 18135t2 10075c2 |
Quadratic twists by: -4 8 -3 5 |