Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575m |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-62643988037109375 = -1 · 37 · 514 · 13 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19120,11994122] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:2881:1] |
Generators of the group modulo torsion |
j |
67867385039/5499609375 |
j-invariant |
L |
3.5623072097339 |
L(r)(E,1)/r! |
Ω |
0.26749520969779 |
Real period |
R |
3.3293186948975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18525m1 11115f1 |
Quadratic twists by: -3 5 |