Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
54672x |
Isogeny class |
Conductor |
54672 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
16510391156736 = 229 · 33 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -5 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55536,-5052204] |
[a1,a2,a3,a4,a6] |
Generators |
[402:6144:1] |
Generators of the group modulo torsion |
j |
4624825736604529/4030857216 |
j-invariant |
L |
4.5680414907715 |
L(r)(E,1)/r! |
Ω |
0.31101259545744 |
Real period |
R |
1.2239701214361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6834l1 |
Quadratic twists by: -4 |