Atkin-Lehner |
2- 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008f |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
79066368 = 28 · 35 · 31 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-997,-11783] |
[a1,a2,a3,a4,a6] |
Generators |
[-2255:318:125] |
Generators of the group modulo torsion |
j |
428553207808/308853 |
j-invariant |
L |
7.4414613707303 |
L(r)(E,1)/r! |
Ω |
0.8495877837987 |
Real period |
R |
4.3794540792067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15252c1 |
Quadratic twists by: -4 |