Atkin-Lehner |
2- 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
129780c |
Isogeny class |
Conductor |
129780 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
2670872400 = 24 · 33 · 52 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-348,-247] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:35:1] [-8:45:1] |
Generators of the group modulo torsion |
j |
10788913152/6182575 |
j-invariant |
L |
11.189817613856 |
L(r)(E,1)/r! |
Ω |
1.1991048484118 |
Real period |
R |
0.77765076415465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129780f1 |
Quadratic twists by: -3 |