Atkin-Lehner |
2+ 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12648b |
Isogeny class |
Conductor |
12648 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
-6667892441856 = -1 · 28 · 313 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -5 -7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1023,123939] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:2511:8] [-21:306:1] |
Generators of the group modulo torsion |
j |
462046886912/26046454851 |
j-invariant |
L |
6.116628717116 |
L(r)(E,1)/r! |
Ω |
0.57046086732821 |
Real period |
R |
0.10309863661646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25296b1 101184c1 37944m1 |
Quadratic twists by: -4 8 -3 |