Atkin-Lehner |
2+ 5- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050h |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69840 |
Modular degree for the optimal curve |
Δ |
-66559375000 = -1 · 23 · 58 · 192 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 -5 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1700,29000] |
[a1,a2,a3,a4,a6] |
Generators |
[85:670:1] |
Generators of the group modulo torsion |
j |
-1392225385/170392 |
j-invariant |
L |
5.693516816626 |
L(r)(E,1)/r! |
Ω |
1.0685974445387 |
Real period |
R |
0.88800462165915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999382 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56050m1 |
Quadratic twists by: 5 |