Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656ca |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-37237591351296 = -1 · 213 · 36 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 1 2 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5080,-260112] |
[a1,a2,a3,a4,a6] |
Generators |
[44:216:1] |
Generators of the group modulo torsion |
j |
30080231/77274 |
j-invariant |
L |
7.5944122066275 |
L(r)(E,1)/r! |
Ω |
0.33492384917058 |
Real period |
R |
1.4171900957526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15582i1 2544e1 |
Quadratic twists by: -4 -7 |