Atkin-Lehner |
2+ 3- 7- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126i |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
454896 |
Modular degree for the optimal curve |
Δ |
-149267984545107456 = -1 · 29 · 3 · 713 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 -4 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-137028,-26968766] |
[a1,a2,a3,a4,a6] |
j |
-284542480488762047161/149267984545107456 |
j-invariant |
L |
1.574113675867 |
L(r)(E,1)/r! |
Ω |
0.12108566738284 |
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 |
126378bm1 |
Quadratic twists by: -3 |