Atkin-Lehner |
2+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6290d |
Isogeny class |
Conductor |
6290 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-45736099600 = -1 · 24 · 52 · 174 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -4 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1029,16256] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:127:1] [-29:162:1] |
Generators of the group modulo torsion |
j |
-120326972910409/45736099600 |
j-invariant |
L |
2.717809847331 |
L(r)(E,1)/r! |
Ω |
1.0675645513256 |
Real period |
R |
0.31822546982699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50320m2 56610x2 31450m2 106930n2 |
Quadratic twists by: -4 -3 5 17 |