Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240g |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-894132400 = -1 · 24 · 52 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,229,-470] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-49:1] |
Generators of the group modulo torsion |
j |
702464/475 |
j-invariant |
L |
2.5974644014591 |
L(r)(E,1)/r! |
Ω |
0.8944780990306 |
Real period |
R |
0.72597205126494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74480d1 760a1 |
Quadratic twists by: -4 -7 |