Atkin-Lehner |
2+ 3+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19314b |
Isogeny class |
Conductor |
19314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8384 |
Modular degree for the optimal curve |
Δ |
-1680318 = -1 · 2 · 33 · 292 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -5 -5 1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] [13:37:1] |
Generators of the group modulo torsion |
j |
-3176523/62234 |
j-invariant |
L |
3.814228811227 |
L(r)(E,1)/r! |
Ω |
1.1464434190713 |
Real period |
R |
0.83175251996292 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19314l1 |
Quadratic twists by: -3 |