Atkin-Lehner |
2+ 3- 7+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
126378l |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36126720 |
Modular degree for the optimal curve |
Δ |
1.096805550956E+23 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 6 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17068455,-21968211587] |
[a1,a2,a3,a4,a6] |
Generators |
[-7712677717474997008065021282425:103502949391249233928646767453054:2517851483368864806413234375] |
Generators of the group modulo torsion |
j |
754360313946825294964081/150453436345132378752 |
j-invariant |
L |
7.4052313091247 |
L(r)(E,1)/r! |
Ω |
0.075312351022936 |
Real period |
R |
49.163458639536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42126o1 |
Quadratic twists by: -3 |