Atkin-Lehner |
2- 3+ 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
6510q |
Isogeny class |
Conductor |
6510 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-1902151139340060000 = -1 · 25 · 37 · 54 · 72 · 316 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,264635,40822955] |
[a1,a2,a3,a4,a6] |
j |
2049582747886536648239/1902151139340060000 |
j-invariant |
L |
3.4448088570433 |
L(r)(E,1)/r! |
Ω |
0.17224044285217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52080ca2 19530o2 32550s2 45570cy2 |
Quadratic twists by: -4 -3 5 -7 |