Atkin-Lehner |
2- 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
15372a |
Isogeny class |
Conductor |
15372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-2951424 = -1 · 28 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
11664/427 |
j-invariant |
L |
6.1431327884284 |
L(r)(E,1)/r! |
Ω |
1.2205259861985 |
Real period |
R |
0.83886412605358 |
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 |
61488r1 15372b1 107604h1 |
Quadratic twists by: -4 -3 -7 |