Atkin-Lehner |
2+ 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
26910n |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
448000 |
Modular degree for the optimal curve |
Δ |
-627280797998097360 = -1 · 24 · 311 · 5 · 13 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 5 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30015,38165661] |
[a1,a2,a3,a4,a6] |
Generators |
[702:18693:1] |
Generators of the group modulo torsion |
j |
-4102223949811441/860467486965840 |
j-invariant |
L |
3.773735973783 |
L(r)(E,1)/r! |
Ω |
0.23553392124098 |
Real period |
R |
0.57221602760169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8970p1 |
Quadratic twists by: -3 |