Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104z |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
36213051359232 = 220 · 33 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9267,-184590] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:186:1] |
Generators of the group modulo torsion |
j |
795824837163/327447296 |
j-invariant |
L |
3.4834017641853 |
L(r)(E,1)/r! |
Ω |
0.50451932423432 |
Real period |
R |
1.7260992774999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6138b1 49104bb1 |
Quadratic twists by: -4 -3 |