Atkin-Lehner |
2- 7- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
118286bc |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-13566208606748672 = -1 · 214 · 79 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 1 2 7- -5 -1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1512337,-715996247] |
[a1,a2,a3,a4,a6] |
Generators |
[4218:258571:1] |
Generators of the group modulo torsion |
j |
-9479536485110119/336183296 |
j-invariant |
L |
13.735980799248 |
L(r)(E,1)/r! |
Ω |
0.068070115742306 |
Real period |
R |
3.6034222809406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999870808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118286o1 |
Quadratic twists by: -7 |