Atkin-Lehner |
3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
37905b |
Isogeny class |
Conductor |
37905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-359294538840234375 = -1 · 3 · 58 · 73 · 197 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,71832,-27841053] |
[a1,a2,a3,a4,a6] |
j |
871257511151/7637109375 |
j-invariant |
L |
2.6952973697508 |
L(r)(E,1)/r! |
Ω |
0.14973874276407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113715be1 1995e1 |
Quadratic twists by: -3 -19 |