Atkin-Lehner |
2+ 5+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550k |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
11476522750000 = 24 · 56 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11- -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-380100,-90356000] |
[a1,a2,a3,a4,a6] |
Generators |
[-356:180:1] |
Generators of the group modulo torsion |
j |
388686162930440257/734497456 |
j-invariant |
L |
3.0510325079355 |
L(r)(E,1)/r! |
Ω |
0.19227595971529 |
Real period |
R |
2.6446645691609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966336 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542q2 |
Quadratic twists by: 5 |