Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840f |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-20044800 = -1 · 210 · 33 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -5 5 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,-215] |
[a1,a2,a3,a4,a6] |
Generators |
[8:15:1] |
Generators of the group modulo torsion |
j |
-256/19575 |
j-invariant |
L |
3.3132112568825 |
L(r)(E,1)/r! |
Ω |
0.98817435048587 |
Real period |
R |
1.6764305080644 |
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 |
27840dj1 3480t1 83520db1 |
Quadratic twists by: -4 8 -3 |