Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6536a |
Isogeny class |
Conductor |
6536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-3973888 = -1 · 28 · 192 · 43 |
Discriminant |
Eigenvalues |
2- 0 -4 -2 -3 5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-452,3700] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:86:1] [9:19:1] |
Generators of the group modulo torsion |
j |
-39893216256/15523 |
j-invariant |
L |
4.2327029632407 |
L(r)(E,1)/r! |
Ω |
2.4322151256828 |
Real period |
R |
0.43506667220209 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13072a1 52288f1 58824d1 124184b1 |
Quadratic twists by: -4 8 -3 -19 |