Atkin-Lehner |
2- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736o |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3347964512380923904 = -1 · 212 · 73 · 196 · 373 |
Discriminant |
Eigenvalues |
2- 2 3 7+ -3 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,373291,-6739939] |
[a1,a2,a3,a4,a6] |
Generators |
[57343089310:4088743340157:1824793048] |
Generators of the group modulo torsion |
j |
1404446365448142848/817374148530499 |
j-invariant |
L |
12.310810310603 |
L(r)(E,1)/r! |
Ω |
0.14847142822837 |
Real period |
R |
13.819505493294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4921e2 |
Quadratic twists by: -4 |