Atkin-Lehner |
2+ 3- 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130be |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
132480 |
Modular degree for the optimal curve |
Δ |
-24731325000 = -1 · 23 · 36 · 55 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 5 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,441,6565] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-118:1] |
Generators of the group modulo torsion |
j |
12994449551/33925000 |
j-invariant |
L |
4.3661188257086 |
L(r)(E,1)/r! |
Ω |
0.83690804732882 |
Real period |
R |
0.52169636194025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13570d1 |
Quadratic twists by: -3 |