Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
127400g |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-7237295884000000 = -1 · 28 · 56 · 77 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 2 13- 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83300,10118500] |
[a1,a2,a3,a4,a6] |
Generators |
[126:-1274:1] |
Generators of the group modulo torsion |
j |
-135834624/15379 |
j-invariant |
L |
7.2166220983711 |
L(r)(E,1)/r! |
Ω |
0.40731354439133 |
Real period |
R |
0.36911685279319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5096h1 18200d1 |
Quadratic twists by: 5 -7 |