Atkin-Lehner |
2+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360w |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
10296177459200 = 226 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -2 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7052,-167696] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:55:1] |
Generators of the group modulo torsion |
j |
147951952569/39276800 |
j-invariant |
L |
7.3374386008747 |
L(r)(E,1)/r! |
Ω |
0.53128573319446 |
Real period |
R |
3.4526800461214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000234 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103360ce1 3230a1 |
Quadratic twists by: -4 8 |