Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840bt |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-70470000000000 = -1 · 210 · 35 · 510 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 1 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7279,-323145] |
[a1,a2,a3,a4,a6] |
Generators |
[922:28125:1] |
Generators of the group modulo torsion |
j |
41646570900224/68818359375 |
j-invariant |
L |
4.9730211611658 |
L(r)(E,1)/r! |
Ω |
0.32433668116924 |
Real period |
R |
1.5332897726024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27840cq1 3480q1 83520ci1 |
Quadratic twists by: -4 8 -3 |