Atkin-Lehner |
2+ 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91234i |
Isogeny class |
Conductor |
91234 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
874076632649792 = 26 · 118 · 133 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157061,-23928720] |
[a1,a2,a3,a4,a6] |
Generators |
[8579:789470:1] |
Generators of the group modulo torsion |
j |
241862591022625/493393472 |
j-invariant |
L |
2.7082573748548 |
L(r)(E,1)/r! |
Ω |
0.23984795620598 |
Real period |
R |
5.6457795594961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8294d1 |
Quadratic twists by: -11 |