Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050dj |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
15236100000000 = 28 · 36 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6980,124647] |
[a1,a2,a3,a4,a6] |
Generators |
[9:245:1] |
Generators of the group modulo torsion |
j |
3301293169/1337600 |
j-invariant |
L |
9.8028695073107 |
L(r)(E,1)/r! |
Ω |
0.63490246457658 |
Real period |
R |
0.96499758362571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450d1 18810m1 |
Quadratic twists by: -3 5 |