Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400bt |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5925685248000 = -1 · 214 · 310 · 53 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1128,-117648] |
[a1,a2,a3,a4,a6] |
j |
-310288733/11573604 |
j-invariant |
L |
1.3216531516553 |
L(r)(E,1)/r! |
Ω |
0.33041328791382 |
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 |
1050i2 33600hk2 25200fp2 8400cm2 |
Quadratic twists by: -4 8 -3 5 |