Atkin-Lehner |
2- 3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113520bg |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
-4229696351232000 = -1 · 213 · 38 · 53 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 3 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3688080,2727374400] |
[a1,a2,a3,a4,a6] |
Generators |
[1680:35640:1] |
Generators of the group modulo torsion |
j |
-1354455936017246549521/1032640710750 |
j-invariant |
L |
7.5412902656299 |
L(r)(E,1)/r! |
Ω |
0.36402069992221 |
Real period |
R |
0.21579846122127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14190n1 |
Quadratic twists by: -4 |