Atkin-Lehner |
2- 3+ 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83850ca |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
792000 |
Modular degree for the optimal curve |
Δ |
-6976320000000000 = -1 · 215 · 3 · 510 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 2 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63763,-7412719] |
[a1,a2,a3,a4,a6] |
j |
-2935826056825/714375168 |
j-invariant |
L |
4.449450136669 |
L(r)(E,1)/r! |
Ω |
0.14831500806252 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83850bf1 |
Quadratic twists by: 5 |