Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
67416b |
Isogeny class |
Conductor |
67416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-10921392 = -1 · 24 · 35 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 4 6 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-247,1588] |
[a1,a2,a3,a4,a6] |
Generators |
[11:9:1] |
Generators of the group modulo torsion |
j |
-37230592/243 |
j-invariant |
L |
7.5049940073199 |
L(r)(E,1)/r! |
Ω |
2.2876762414149 |
Real period |
R |
1.6403094703191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67416i1 |
Quadratic twists by: 53 |