Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
38430g |
Isogeny class |
Conductor |
38430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4945872863610000 = -1 · 24 · 36 · 54 · 72 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,20190,3193316] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:898:1] |
Generators of the group modulo torsion |
j |
1248512920207839/6784462090000 |
j-invariant |
L |
3.4043093587902 |
L(r)(E,1)/r! |
Ω |
0.31173050832655 |
Real period |
R |
0.68254254633767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4270h4 |
Quadratic twists by: -3 |