Atkin-Lehner |
3+ 7- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109557c |
Isogeny class |
Conductor |
109557 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
416666415501 = 39 · 7 · 372 · 472 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1986,14507] |
[a1,a2,a3,a4,a6] |
Generators |
[718:5591:8] |
Generators of the group modulo torsion |
j |
44024370291/21168847 |
j-invariant |
L |
10.156628267476 |
L(r)(E,1)/r! |
Ω |
0.84114419241633 |
Real period |
R |
6.0373883227424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017134 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557b2 |
Quadratic twists by: -3 |