Atkin-Lehner |
2+ 5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
113050b |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1766406250 = -1 · 2 · 58 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11901,498698] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-44:1] |
Generators of the group modulo torsion |
j |
-11928932826049/113050 |
j-invariant |
L |
1.9866512278626 |
L(r)(E,1)/r! |
Ω |
1.3439976590168 |
Real period |
R |
0.73908282207329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000314552 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22610r1 |
Quadratic twists by: 5 |