Atkin-Lehner |
2- 3- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
45504bl |
Isogeny class |
Conductor |
45504 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
298551744 = 26 · 310 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76791,-8190560] |
[a1,a2,a3,a4,a6] |
Generators |
[-14298333810276:7686497650:89374579111] |
Generators of the group modulo torsion |
j |
1073364380875072/6399 |
j-invariant |
L |
5.1363105529198 |
L(r)(E,1)/r! |
Ω |
0.28679526315409 |
Real period |
R |
17.909328405383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999707 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45504bw1 22752c4 15168p1 |
Quadratic twists by: -4 8 -3 |