Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5070p |
Isogeny class |
Conductor |
5070 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-9340607016000000 = -1 · 29 · 312 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -6 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10819,-4625197] |
[a1,a2,a3,a4,a6] |
Generators |
[327:5668:1] |
Generators of the group modulo torsion |
j |
63745936931123/4251528000000 |
j-invariant |
L |
4.4249043071402 |
L(r)(E,1)/r! |
Ω |
0.19549407169981 |
Real period |
R |
1.2574704436093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40560cn2 15210x2 25350bk2 5070h2 |
Quadratic twists by: -4 -3 5 13 |