Atkin-Lehner |
2- 3+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328bt |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
822960193536 = 222 · 33 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 6 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2657,30465] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:140:1] |
Generators of the group modulo torsion |
j |
7916293657/3139344 |
j-invariant |
L |
6.0165539160564 |
L(r)(E,1)/r! |
Ω |
0.81127239975473 |
Real period |
R |
3.7080972492687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328ba1 26832u1 |
Quadratic twists by: -4 8 |