Atkin-Lehner |
2+ 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34840d |
Isogeny class |
Conductor |
34840 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
71808 |
Modular degree for the optimal curve |
Δ |
-8846093750000 = -1 · 24 · 511 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5- -5 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1440,142025] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:325:1] [40:515:1] |
Generators of the group modulo torsion |
j |
20624792002304/552880859375 |
j-invariant |
L |
9.1045799473379 |
L(r)(E,1)/r! |
Ω |
0.55030799956518 |
Real period |
R |
0.37601174559323 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69680h1 |
Quadratic twists by: -4 |