Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770z |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2440350499950 = -1 · 2 · 313 · 52 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11- 3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3366,-662] |
[a1,a2,a3,a4,a6] |
Generators |
[17:239:1] |
Generators of the group modulo torsion |
j |
5784501536351/3347531550 |
j-invariant |
L |
4.1046183647936 |
L(r)(E,1)/r! |
Ω |
0.48699145165855 |
Real period |
R |
0.70237686767302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590p1 113850es1 |
Quadratic twists by: -3 5 |