Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230p |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.9011892881548E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8189820,9016860496] |
[a1,a2,a3,a4,a6] |
Generators |
[453:73256:1] |
Generators of the group modulo torsion |
j |
83333435002229316265921/67231677478118400 |
j-invariant |
L |
3.2193172973525 |
L(r)(E,1)/r! |
Ω |
0.19928191670739 |
Real period |
R |
4.0386470465349 |
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 |
7410q2 111150ee2 |
Quadratic twists by: -3 5 |