Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400fc |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
559872 |
Modular degree for the optimal curve |
Δ |
-133524357120000 = -1 · 221 · 33 · 54 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-154208,-23263488] |
[a1,a2,a3,a4,a6] |
j |
-158419003440625/52157952 |
j-invariant |
L |
1.4454906750094 |
L(r)(E,1)/r! |
Ω |
0.12045754860125 |
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 |
11550cr1 92400hg1 |
Quadratic twists by: -4 5 |