Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380n |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-937541800070400 = -1 · 28 · 3 · 52 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24180,267432] |
[a1,a2,a3,a4,a6] |
Generators |
[91010:1792649:1000] |
Generators of the group modulo torsion |
j |
253012016/151725 |
j-invariant |
L |
6.062661705416 |
L(r)(E,1)/r! |
Ω |
0.30400623065941 |
Real period |
R |
9.9712787236551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999771562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140k2 |
Quadratic twists by: 17 |