Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950l |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9936 |
Modular degree for the optimal curve |
Δ |
-303800 = -1 · 23 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 3 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10,-20] |
[a1,a2,a3,a4,a6] |
j |
76895/248 |
j-invariant |
L |
1.5667721152099 |
L(r)(E,1)/r! |
Ω |
1.566772090468 |
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 |
75950db1 75950f1 |
Quadratic twists by: 5 -7 |