Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bl |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-82038325248 = -1 · 215 · 32 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11- 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2944,64000] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:66:1] [48:176:1] |
Generators of the group modulo torsion |
j |
-47071057/1368 |
j-invariant |
L |
8.6358618602611 |
L(r)(E,1)/r! |
Ω |
1.0778634482639 |
Real period |
R |
0.33383410308353 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794bi1 110352z1 |
Quadratic twists by: -4 -11 |