Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
129780f |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
1947065979600 = 24 · 39 · 52 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3132,6669] |
[a1,a2,a3,a4,a6] |
Generators |
[55:28:1] |
Generators of the group modulo torsion |
j |
10788913152/6182575 |
j-invariant |
L |
8.1970488903086 |
L(r)(E,1)/r! |
Ω |
0.71064863434606 |
Real period |
R |
2.8836503983664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129780c1 |
Quadratic twists by: -3 |