Atkin-Lehner |
3+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15015a |
Isogeny class |
Conductor |
15015 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-131720904315 = -1 · 32 · 5 · 7 · 114 · 134 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1254,4098] |
[a1,a2,a3,a4,a6] |
Generators |
[27:228:1] |
Generators of the group modulo torsion |
j |
218069373547871/131720904315 |
j-invariant |
L |
2.0280182445023 |
L(r)(E,1)/r! |
Ω |
0.63822072258347 |
Real period |
R |
1.5888063272946 |
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 |
45045bg3 75075bo3 105105cl3 |
Quadratic twists by: -3 5 -7 |