Atkin-Lehner |
2- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
27968bm |
Isogeny class |
Conductor |
27968 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-4497701888 = -1 · 210 · 192 · 233 |
Discriminant |
Eigenvalues |
2- 1 -2 0 0 7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,191,3127] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:437:8] |
Generators of the group modulo torsion |
j |
748596992/4392287 |
j-invariant |
L |
5.7896902170918 |
L(r)(E,1)/r! |
Ω |
0.9961997412403 |
Real period |
R |
0.96862941192287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27968k1 6992h1 |
Quadratic twists by: -4 8 |