Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61360j |
Isogeny class |
Conductor |
61360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-251330560 = -1 · 216 · 5 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,64,-716] |
[a1,a2,a3,a4,a6] |
Generators |
[10:32:1] [52:382:1] |
Generators of the group modulo torsion |
j |
6967871/61360 |
j-invariant |
L |
7.3926552588346 |
L(r)(E,1)/r! |
Ω |
0.86739417352955 |
Real period |
R |
2.1307081268358 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670g1 |
Quadratic twists by: -4 |