Atkin-Lehner |
2- 7- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286y |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
2.9031021951082E+20 |
Discriminant |
Eigenvalues |
2- -2 0 7- -2 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2287468,1049190288] |
[a1,a2,a3,a4,a6] |
Generators |
[344:17236:1] [412:13088:1] |
Generators of the group modulo torsion |
j |
11251244589515736625/2467596150505472 |
j-invariant |
L |
12.005080098002 |
L(r)(E,1)/r! |
Ω |
0.16336171990369 |
Real period |
R |
2.1614034877015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16898f1 |
Quadratic twists by: -7 |