Atkin-Lehner |
2- 3- 5+ 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290bg |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-774683688960 = -1 · 216 · 37 · 5 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2272,6851] |
[a1,a2,a3,a4,a6] |
Generators |
[3:115:1] [21:241:1] |
Generators of the group modulo torsion |
j |
1779919481159/1062666240 |
j-invariant |
L |
15.115558806482 |
L(r)(E,1)/r! |
Ω |
0.54838697586697 |
Real period |
R |
1.7227295086763 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32430l1 |
Quadratic twists by: -3 |