Atkin-Lehner |
2+ 11+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
116402a |
Isogeny class |
Conductor |
116402 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
-1353094911454 = -1 · 2 · 113 · 135 · 372 |
Discriminant |
Eigenvalues |
2+ -2 -1 -1 11+ 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1664,61620] |
[a1,a2,a3,a4,a6] |
Generators |
[32:187:1] [-42:261:1] |
Generators of the group modulo torsion |
j |
-382499074979/1016600234 |
j-invariant |
L |
6.0375595504479 |
L(r)(E,1)/r! |
Ω |
0.75592056816619 |
Real period |
R |
0.39935145327542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116402x1 |
Quadratic twists by: -11 |