Atkin-Lehner |
2+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53482g |
Isogeny class |
Conductor |
53482 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
14784000 |
Modular degree for the optimal curve |
Δ |
3.0132421350869E+23 |
Discriminant |
Eigenvalues |
2+ 2 4 4 11- 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17539073,-10097003275] |
[a1,a2,a3,a4,a6] |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
6.2239805266704 |
L(r)(E,1)/r! |
Ω |
0.077799756614445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
442e1 |
Quadratic twists by: -11 |