Atkin-Lehner |
2- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109040k |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-187807006720 = -1 · 215 · 5 · 293 · 47 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,224,20736] |
[a1,a2,a3,a4,a6] |
Generators |
[0:144:1] [18:174:1] |
Generators of the group modulo torsion |
j |
302111711/45851320 |
j-invariant |
L |
14.197974367553 |
L(r)(E,1)/r! |
Ω |
0.77756699734842 |
Real period |
R |
1.5216239046523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630g1 |
Quadratic twists by: -4 |