Atkin-Lehner |
3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
7035g |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6347603115 = 32 · 5 · 7 · 674 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1774,-28639] |
[a1,a2,a3,a4,a6] |
Generators |
[-202:211:8] |
Generators of the group modulo torsion |
j |
616925320601689/6347603115 |
j-invariant |
L |
5.3717895036029 |
L(r)(E,1)/r! |
Ω |
0.73613989413604 |
Real period |
R |
3.6486200152944 |
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 |
112560bj3 21105j3 35175i3 49245r3 |
Quadratic twists by: -4 -3 5 -7 |