Atkin-Lehner |
2- 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094be |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-69494544 = -1 · 24 · 33 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ -2 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,515] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:6:1] [9:16:1] |
Generators of the group modulo torsion |
j |
-964467/1072 |
j-invariant |
L |
13.487878163655 |
L(r)(E,1)/r! |
Ω |
1.7696903113376 |
Real period |
R |
0.31756681939534 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094a1 59094bj1 |
Quadratic twists by: -3 -7 |