Atkin-Lehner |
2- 7- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608v |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-2692144 = -1 · 24 · 7 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 0 2 7- -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,75] |
[a1,a2,a3,a4,a6] |
Generators |
[-1716:13175:1728] |
Generators of the group modulo torsion |
j |
28311552/168259 |
j-invariant |
L |
6.3438473101328 |
L(r)(E,1)/r! |
Ω |
1.8497213078136 |
Real period |
R |
6.8592466154363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15652a1 |
Quadratic twists by: -4 |