Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800gt |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-276468770930688000 = -1 · 220 · 316 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40620,-25493200] |
[a1,a2,a3,a4,a6] |
Generators |
[42340:985635:64] |
Generators of the group modulo torsion |
j |
-310288733/11573604 |
j-invariant |
L |
7.1881978936291 |
L(r)(E,1)/r! |
Ω |
0.13489065993736 |
Real period |
R |
6.661133824084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800pl2 3150bo2 33600bf2 100800ht2 |
Quadratic twists by: -4 8 -3 5 |