Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968n |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-18240769728 = -1 · 26 · 37 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 0 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7581,254144] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:342:1] [19:342:1] |
Generators of the group modulo torsion |
j |
-7924672/3 |
j-invariant |
L |
10.349518476383 |
L(r)(E,1)/r! |
Ω |
1.2041012163367 |
Real period |
R |
0.35813429189329 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968l1 34656u1 103968cd1 |
Quadratic twists by: -4 -3 -19 |