Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230p |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
-1.3608006055735E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-402300,202945360] |
[a1,a2,a3,a4,a6] |
Generators |
[1103:32618:1] |
Generators of the group modulo torsion |
j |
-9877496597620516801/18666674973573120 |
j-invariant |
L |
3.2193172973525 |
L(r)(E,1)/r! |
Ω |
0.19928191670739 |
Real period |
R |
2.0193235232675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7410q1 111150ee1 |
Quadratic twists by: -3 5 |