Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
111300a |
Isogeny class |
Conductor |
111300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-13356000000 = -1 · 28 · 32 · 56 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 0 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21533,-1209063] |
[a1,a2,a3,a4,a6] |
Generators |
[269816374:8994071517:238328] |
Generators of the group modulo torsion |
j |
-276056203264/3339 |
j-invariant |
L |
5.8363118500123 |
L(r)(E,1)/r! |
Ω |
0.19705680091024 |
Real period |
R |
14.808704501199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999670162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4452d1 |
Quadratic twists by: 5 |