Atkin-Lehner |
2+ 3+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29370a |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-9097651200000 = -1 · 213 · 3 · 55 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11+ -6 8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3153,-161643] |
[a1,a2,a3,a4,a6] |
Generators |
[1983:1667:27] |
Generators of the group modulo torsion |
j |
-3468253438176409/9097651200000 |
j-invariant |
L |
2.0537911976131 |
L(r)(E,1)/r! |
Ω |
0.29612482879342 |
Real period |
R |
6.9355589194646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88110cu1 |
Quadratic twists by: -3 |