Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990ca |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
526848 |
Modular degree for the optimal curve |
Δ |
-81775370880 = -1 · 27 · 36 · 5 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2741513,-1746477943] |
[a1,a2,a3,a4,a6] |
j |
-3125841581804401744201/112174720 |
j-invariant |
L |
3.28518643585 |
L(r)(E,1)/r! |
Ω |
0.058664043495368 |
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 |
5110b1 |
Quadratic twists by: -3 |