Atkin-Lehner |
2+ 3- 37+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18426a |
Isogeny class |
Conductor |
18426 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182400 |
Modular degree for the optimal curve |
Δ |
28731488499342576 = 24 · 32 · 373 · 835 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 -6 -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78259,-2127202] |
[a1,a2,a3,a4,a6] |
j |
53005217047662725929/28731488499342576 |
j-invariant |
L |
1.2172400142768 |
L(r)(E,1)/r! |
Ω |
0.3043100035692 |
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 |
55278g1 |
Quadratic twists by: -3 |