Atkin-Lehner |
2+ 3- 7- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bf |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-827006797387008 = -1 · 28 · 35 · 76 · 173 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -3 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6788,1399682] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:1282:1] [-111:943:1] |
Generators of the group modulo torsion |
j |
-293946977449/7029441792 |
j-invariant |
L |
8.1718356436413 |
L(r)(E,1)/r! |
Ω |
0.42065512769416 |
Real period |
R |
0.32377416027265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346c1 |
Quadratic twists by: -7 |