Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090br |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
51203846456585340 = 22 · 3 · 5 · 78 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-195741,-31586217] |
[a1,a2,a3,a4,a6] |
Generators |
[887:21774:1] |
Generators of the group modulo torsion |
j |
5602762882081/345888060 |
j-invariant |
L |
6.4832146903929 |
L(r)(E,1)/r! |
Ω |
0.22785292380002 |
Real period |
R |
3.5566883495702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999842254 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210c4 |
Quadratic twists by: -23 |