Atkin-Lehner |
2+ 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
65758j |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-5210822791328 = -1 · 25 · 72 · 114 · 613 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 11- -2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28362,1839324] |
[a1,a2,a3,a4,a6] |
Generators |
[96:-109:1] [-36:1695:1] |
Generators of the group modulo torsion |
j |
-51489204035949673/106343322272 |
j-invariant |
L |
7.9790777913637 |
L(r)(E,1)/r! |
Ω |
0.76644515411133 |
Real period |
R |
0.86754172260479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65758a1 |
Quadratic twists by: -7 |