Atkin-Lehner |
5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7175c |
Isogeny class |
Conductor |
7175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-5299563544296875 = -1 · 57 · 79 · 412 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7+ 3 5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44425,-5025594] |
[a1,a2,a3,a4,a6] |
j |
-620563168014336/339172066835 |
j-invariant |
L |
0.64135442545116 |
L(r)(E,1)/r! |
Ω |
0.16033860636279 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800cc1 64575k1 1435d1 50225i1 |
Quadratic twists by: -4 -3 5 -7 |