Atkin-Lehner |
2+ 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050c |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-587330078125000 = -1 · 23 · 512 · 72 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9474,1111448] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-1604:1] |
Generators of the group modulo torsion |
j |
6019628941871/37589125000 |
j-invariant |
L |
1.901011305714 |
L(r)(E,1)/r! |
Ω |
0.3740364475367 |
Real period |
R |
1.2706057110383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999995802631 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22610s2 |
Quadratic twists by: 5 |