Atkin-Lehner |
2+ 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95992a |
Isogeny class |
Conductor |
95992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
118613772679168 = 211 · 138 · 71 |
Discriminant |
Eigenvalues |
2+ 0 2 -5 -4 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15379,-514098] |
[a1,a2,a3,a4,a6] |
Generators |
[12578:497151:8] |
Generators of the group modulo torsion |
j |
240786/71 |
j-invariant |
L |
3.8532492686807 |
L(r)(E,1)/r! |
Ω |
0.43843272860329 |
Real period |
R |
8.7886898151978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95992c1 |
Quadratic twists by: 13 |