Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654s |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
4795451494667316 = 22 · 37 · 7 · 238 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 4 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52470,3222544] |
[a1,a2,a3,a4,a6] |
j |
279841/84 |
j-invariant |
L |
1.6081201856329 |
L(r)(E,1)/r! |
Ω |
0.40203004693908 |
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 |
22218x1 66654g1 |
Quadratic twists by: -3 -23 |