Atkin-Lehner |
2+ 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230u |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-835701643237500 = -1 · 22 · 36 · 55 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2049,-1390807] |
[a1,a2,a3,a4,a6] |
Generators |
[157:1384:1] |
Generators of the group modulo torsion |
j |
-1305392995089/1146367137500 |
j-invariant |
L |
4.0202364644723 |
L(r)(E,1)/r! |
Ω |
0.22599479269335 |
Real period |
R |
0.29648444672553 |
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 |
2470e1 111150ej1 |
Quadratic twists by: -3 5 |