Atkin-Lehner |
2+ 3- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48312i |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-265102701963264 = -1 · 211 · 313 · 113 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- 1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140691,20326862] |
[a1,a2,a3,a4,a6] |
Generators |
[1634:2673:8] |
Generators of the group modulo torsion |
j |
-206283827552546/177564717 |
j-invariant |
L |
8.7444094973229 |
L(r)(E,1)/r! |
Ω |
0.54790448756572 |
Real period |
R |
1.3299777752911 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624i1 16104e1 |
Quadratic twists by: -4 -3 |