Atkin-Lehner |
2- 3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
15276b |
Isogeny class |
Conductor |
15276 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3959906137830144 = -1 · 28 · 32 · 19 · 676 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 -3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24709,-3384841] |
[a1,a2,a3,a4,a6] |
Generators |
[50330:902289:125] |
Generators of the group modulo torsion |
j |
-6517286773522432/15468383350899 |
j-invariant |
L |
6.7211440052759 |
L(r)(E,1)/r! |
Ω |
0.1777147006445 |
Real period |
R |
3.1516544874552 |
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 |
61104n2 45828g2 |
Quadratic twists by: -4 -3 |