Atkin-Lehner |
2+ 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92720h |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
254386592000 = 28 · 53 · 194 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2060,25900] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:190:1] [10:80:1] |
Generators of the group modulo torsion |
j |
3778298043856/993697625 |
j-invariant |
L |
6.6939812029338 |
L(r)(E,1)/r! |
Ω |
0.92023015992769 |
Real period |
R |
1.2123744496323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46360b1 |
Quadratic twists by: -4 |