Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784br |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-6570264119943573504 = -1 · 212 · 32 · 75 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 0 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-173873509,-882408581939] |
[a1,a2,a3,a4,a6] |
Generators |
[7760613660477556704860768908117419347910797501089340:867037586994947497960518894084898060287903318679879017:350560803519590390688221571317731678601213926625] |
Generators of the group modulo torsion |
j |
-13383627864961024/151263 |
j-invariant |
L |
6.5596536251729 |
L(r)(E,1)/r! |
Ω |
0.020787927992563 |
Real period |
R |
78.887775966894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3549e2 56784ch2 |
Quadratic twists by: -4 13 |