Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
98568r |
Isogeny class |
Conductor |
98568 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3409920 |
Modular degree for the optimal curve |
Δ |
-2.1238620085717E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 0 -2 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1975467,-1278177802] |
[a1,a2,a3,a4,a6] |
Generators |
[1063713:210995756:27] |
Generators of the group modulo torsion |
j |
-325156/81 |
j-invariant |
L |
5.2381049837302 |
L(r)(E,1)/r! |
Ω |
0.062848385195252 |
Real period |
R |
6.9454250427105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32856b1 98568d1 |
Quadratic twists by: -3 37 |