Atkin-Lehner |
3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7035b |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12125350125 = -1 · 32 · 53 · 74 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,462,-3483] |
[a1,a2,a3,a4,a6] |
Generators |
[12:57:1] |
Generators of the group modulo torsion |
j |
10868760308951/12125350125 |
j-invariant |
L |
3.692586785812 |
L(r)(E,1)/r! |
Ω |
0.68431104173031 |
Real period |
R |
1.3490162223874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112560ce2 21105m2 35175u2 49245bc2 |
Quadratic twists by: -4 -3 5 -7 |