Atkin-Lehner |
2+ 3- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15096a |
Isogeny class |
Conductor |
15096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-1675293696 = -1 · 210 · 32 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 -1 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5080,137696] |
[a1,a2,a3,a4,a6] |
Generators |
[44:36:1] |
Generators of the group modulo torsion |
j |
-14161210570084/1636029 |
j-invariant |
L |
6.7317817297926 |
L(r)(E,1)/r! |
Ω |
1.4376484902558 |
Real period |
R |
1.1706237260741 |
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 |
30192b1 120768b1 45288k1 |
Quadratic twists by: -4 8 -3 |