Atkin-Lehner |
2+ 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65366c |
Isogeny class |
Conductor |
65366 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
80352 |
Modular degree for the optimal curve |
Δ |
3388704172 = 22 · 74 · 233 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ -2 -5 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1397,-20495] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:25:1] [-21:22:1] |
Generators of the group modulo torsion |
j |
125720594041/1411372 |
j-invariant |
L |
4.3977641871426 |
L(r)(E,1)/r! |
Ω |
0.78136618674841 |
Real period |
R |
0.31268339577822 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65366l1 |
Quadratic twists by: -7 |