Atkin-Lehner |
2- 3- 19- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
34542d |
Isogeny class |
Conductor |
34542 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-5879085981696 = -1 · 213 · 39 · 192 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 0 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3389,140037] |
[a1,a2,a3,a4,a6] |
Generators |
[167:1968:1] [-61:372:1] |
Generators of the group modulo torsion |
j |
-5903244155017/8064589824 |
j-invariant |
L |
9.9084281074911 |
L(r)(E,1)/r! |
Ω |
0.68288502309985 |
Real period |
R |
0.13951594187105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11514a1 |
Quadratic twists by: -3 |