Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42700g |
Isogeny class |
Conductor |
42700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
247680 |
Modular degree for the optimal curve |
Δ |
-325587500000000 = -1 · 28 · 511 · 7 · 612 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ -3 -1 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15800,-411500] |
[a1,a2,a3,a4,a6] |
Generators |
[45:625:1] |
Generators of the group modulo torsion |
j |
109052338176/81396875 |
j-invariant |
L |
3.3089841999177 |
L(r)(E,1)/r! |
Ω |
0.3035038789583 |
Real period |
R |
1.3628261569783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540e1 |
Quadratic twists by: 5 |