Atkin-Lehner |
2- 3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320cd |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11280384 |
Modular degree for the optimal curve |
Δ |
-2.1575501237938E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8347456,24196461620] |
[a1,a2,a3,a4,a6] |
Generators |
[-1061241401179928822:28110636149948547072:298305264160513] |
Generators of the group modulo torsion |
j |
-15704576585970029529409/52674563569184931840 |
j-invariant |
L |
8.2657093975825 |
L(r)(E,1)/r! |
Ω |
0.087493890769064 |
Real period |
R |
23.617961500103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790n1 |
Quadratic twists by: -4 |