Atkin-Lehner |
2- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126616m |
Isogeny class |
Conductor |
126616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-162136111429936 = -1 · 24 · 72 · 174 · 195 |
Discriminant |
Eigenvalues |
2- 0 1 7- -3 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8582,-684803] |
[a1,a2,a3,a4,a6] |
Generators |
[1002:31571:1] |
Generators of the group modulo torsion |
j |
-89160640579584/206806264579 |
j-invariant |
L |
6.1396714239269 |
L(r)(E,1)/r! |
Ω |
0.23170692935798 |
Real period |
R |
6.6243932548898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000234745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126616j1 |
Quadratic twists by: -7 |