Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7035k |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49491225 = 32 · 52 · 72 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2345,43512] |
[a1,a2,a3,a4,a6] |
j |
1426145474814481/49491225 |
j-invariant |
L |
1.8754978234176 |
L(r)(E,1)/r! |
Ω |
1.8754978234176 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112560bv2 21105e2 35175c2 49245h2 |
Quadratic twists by: -4 -3 5 -7 |