Atkin-Lehner |
2+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350b |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1126891718750000 = 24 · 510 · 7 · 1013 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ -3 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1778450,-913613500] |
[a1,a2,a3,a4,a6] |
Generators |
[-320404661757543:157079630945230:416330716563] |
Generators of the group modulo torsion |
j |
63701407700040625/115393712 |
j-invariant |
L |
5.7353809585118 |
L(r)(E,1)/r! |
Ω |
0.13073418238444 |
Real period |
R |
21.93527681095 |
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 |
35350u2 |
Quadratic twists by: 5 |