Atkin-Lehner |
2- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
110200i |
Isogeny class |
Conductor |
110200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
74496 |
Modular degree for the optimal curve |
Δ |
-6365152000 = -1 · 28 · 53 · 193 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- -4 2 -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87,-3797] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-190:1] |
Generators of the group modulo torsion |
j |
2249728/198911 |
j-invariant |
L |
2.4813086487497 |
L(r)(E,1)/r! |
Ω |
0.63607042776192 |
Real period |
R |
0.32508306207278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999215748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110200c1 |
Quadratic twists by: 5 |