Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840ck |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
570834000 = 24 · 33 · 53 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12385,-526400] |
[a1,a2,a3,a4,a6] |
j |
13131877655658496/35677125 |
j-invariant |
L |
2.7153383485638 |
L(r)(E,1)/r! |
Ω |
0.45255638914679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460n1 |
Quadratic twists by: -4 |