Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6370a |
Isogeny class |
Conductor |
6370 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1997632000000 = -1 · 212 · 56 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2816,-36018] |
[a1,a2,a3,a4,a6] |
Generators |
[25:211:1] [46:414:1] |
Generators of the group modulo torsion |
j |
1029084842471/832000000 |
j-invariant |
L |
2.8720398893782 |
L(r)(E,1)/r! |
Ω |
0.45979444564912 |
Real period |
R |
0.5205296838899 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50960q2 57330et2 31850bn2 6370i2 |
Quadratic twists by: -4 -3 5 -7 |