Atkin-Lehner |
2- 11+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402x |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2344320 |
Modular degree for the optimal curve |
Δ |
-2397090174430359694 = -1 · 2 · 119 · 135 · 372 |
Discriminant |
Eigenvalues |
2- -2 -1 1 11+ 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-201286,-82217838] |
[a1,a2,a3,a4,a6] |
Generators |
[4678:323:8] [4798:26313:8] |
Generators of the group modulo torsion |
j |
-382499074979/1016600234 |
j-invariant |
L |
12.297229593286 |
L(r)(E,1)/r! |
Ω |
0.10470909943894 |
Real period |
R |
29.360460687339 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402a1 |
Quadratic twists by: -11 |