Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dl |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.7702458166664E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1223724,-825387568] |
[a1,a2,a3,a4,a6] |
Generators |
[315110356955353876:775481856290218368:232279474390111] |
Generators of the group modulo torsion |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
7.7261971618617 |
L(r)(E,1)/r! |
Ω |
0.069240046815361 |
Real period |
R |
27.896417958442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928ca1 29232bf1 12992bd1 |
Quadratic twists by: -4 8 -3 |