Atkin-Lehner |
2+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109120s |
Isogeny class |
Conductor |
109120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-23238195200000 = -1 · 214 · 55 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3 5- 4 11- 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2768,225056] |
[a1,a2,a3,a4,a6] |
j |
143153519616/1418346875 |
j-invariant |
L |
9.9268444583837 |
L(r)(E,1)/r! |
Ω |
0.49634219586806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109120bi1 13640f1 |
Quadratic twists by: -4 8 |