Atkin-Lehner |
2- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950db |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
49680 |
Modular degree for the optimal curve |
Δ |
-4746875000 = -1 · 23 · 58 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 3 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,237,-2983] |
[a1,a2,a3,a4,a6] |
j |
76895/248 |
j-invariant |
L |
6.306136034636 |
L(r)(E,1)/r! |
Ω |
0.70068177990719 |
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 |
75950l1 75950da1 |
Quadratic twists by: 5 -7 |