Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
6370p |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-3819065366480 = -1 · 24 · 5 · 710 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -4 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14456,-681591] |
[a1,a2,a3,a4,a6] |
j |
-1182740881/13520 |
j-invariant |
L |
1.740410199052 |
L(r)(E,1)/r! |
Ω |
0.2175512748815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50960bd1 57330cz1 31850i1 6370r1 |
Quadratic twists by: -4 -3 5 -7 |