Atkin-Lehner |
2- 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98900l |
Isogeny class |
Conductor |
98900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-21263500000000 = -1 · 28 · 59 · 23 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 2 -2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6867,-33137] |
[a1,a2,a3,a4,a6] |
Generators |
[153:2150:1] |
Generators of the group modulo torsion |
j |
8951619584/5315875 |
j-invariant |
L |
4.2701011636273 |
L(r)(E,1)/r! |
Ω |
0.39801061558076 |
Real period |
R |
0.89405094155714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999445229 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19780g1 |
Quadratic twists by: 5 |