Atkin-Lehner |
2+ 3- 5+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
73530m |
Isogeny class |
Conductor |
73530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
718718063372406450 = 2 · 39 · 52 · 198 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2810835,1814093275] |
[a1,a2,a3,a4,a6] |
Generators |
[995:785:1] |
Generators of the group modulo torsion |
j |
3369010221948854464561/985895834530050 |
j-invariant |
L |
1.9110447118468 |
L(r)(E,1)/r! |
Ω |
0.27918054573055 |
Real period |
R |
0.42782456107997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24510n4 |
Quadratic twists by: -3 |