Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700bb |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1590033905714800 = -1 · 24 · 52 · 77 · 136 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31278,2855593] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:637:1] [-78:2197:1] |
Generators of the group modulo torsion |
j |
-71912815360/33787663 |
j-invariant |
L |
7.1177357542806 |
L(r)(E,1)/r! |
Ω |
0.44361023683201 |
Real period |
R |
0.22284751979082 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bo2 9100c2 |
Quadratic twists by: 5 -7 |