Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440eg |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-4090018006609920 = -1 · 212 · 311 · 5 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 0 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18912,3235696] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:1089:1] |
Generators of the group modulo torsion |
j |
-250523582464/1369738755 |
j-invariant |
L |
6.4736447016744 |
L(r)(E,1)/r! |
Ω |
0.37996596322481 |
Real period |
R |
1.7037433160234 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3465r1 18480cm1 |
Quadratic twists by: -4 -3 |