Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22344b |
Isogeny class |
Conductor |
22344 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-105106176 = -1 · 28 · 32 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ -4 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,3949] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:42:1] [28:-111:1] |
Generators of the group modulo torsion |
j |
-17210368/171 |
j-invariant |
L |
5.5663118657255 |
L(r)(E,1)/r! |
Ω |
1.8928201766541 |
Real period |
R |
0.12253127049919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44688w1 67032by1 22344w1 |
Quadratic twists by: -4 -3 -7 |