Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050d |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-304003177734375000 = -1 · 23 · 33 · 512 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89808,-24443784] |
[a1,a2,a3,a4,a6] |
j |
1613964717/6125000 |
j-invariant |
L |
1.2458588262203 |
L(r)(E,1)/r! |
Ω |
0.15573235327754 |
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 |
22050da4 4410v2 3150b2 |
Quadratic twists by: -3 5 -7 |