Atkin-Lehner |
5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
175b |
Isogeny class |
Conductor |
175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-213623046875 = -1 · 515 · 7 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ -3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3283,-74657] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7812:1] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
1.0476202635275 |
L(r)(E,1)/r! |
Ω |
0.31435146257085 |
Real period |
R |
0.83316000421928 |
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 |
2800s3 11200c3 1575e3 35a2 |
Quadratic twists by: -4 8 -3 5 |