Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230l |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4213652008611240000 = 26 · 314 · 54 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-656235,179366341] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:19061:1] |
Generators of the group modulo torsion |
j |
42872096815530006961/5780043907560000 |
j-invariant |
L |
3.0260322955055 |
L(r)(E,1)/r! |
Ω |
0.23706202963684 |
Real period |
R |
3.1911819663203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7410n3 111150ds3 |
Quadratic twists by: -3 5 |