Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61380s |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
3937649760000 = 28 · 38 · 54 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12567,533774] |
[a1,a2,a3,a4,a6] |
Generators |
[43:270:1] |
Generators of the group modulo torsion |
j |
1176118452304/21099375 |
j-invariant |
L |
7.9174804855466 |
L(r)(E,1)/r! |
Ω |
0.78416557356483 |
Real period |
R |
0.42069561754918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20460a2 |
Quadratic twists by: -3 |