Atkin-Lehner |
2+ 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230a |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-12470059008000 = -1 · 220 · 32 · 53 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10323,-442323] |
[a1,a2,a3,a4,a6] |
Generators |
[1502:15803:8] |
Generators of the group modulo torsion |
j |
-121676645386920889/12470059008000 |
j-invariant |
L |
2.4402553963163 |
L(r)(E,1)/r! |
Ω |
0.23545079403481 |
Real period |
R |
5.1820920934237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840cy1 30690bq1 51150cb1 112530bn1 |
Quadratic twists by: -4 -3 5 -11 |