Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150o |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
61548176025000000 = 26 · 36 · 58 · 72 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15827292,-24231878384] |
[a1,a2,a3,a4,a6] |
j |
38494263748526418169/5403406400 |
j-invariant |
L |
0.60553486732633 |
L(r)(E,1)/r! |
Ω |
0.075691637946015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350p1 25830bi1 |
Quadratic twists by: -3 5 |