Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bn |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5852528640000000 = -1 · 221 · 36 · 57 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35667,-4493259] |
[a1,a2,a3,a4,a6] |
Generators |
[7662:227919:8] |
Generators of the group modulo torsion |
j |
-8990558521/10485760 |
j-invariant |
L |
3.7650960148954 |
L(r)(E,1)/r! |
Ω |
0.16622190480044 |
Real period |
R |
5.6627554885375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2450z2 4410bl2 22050x2 |
Quadratic twists by: -3 5 -7 |