Atkin-Lehner |
2+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950p |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-4355276800 = -1 · 214 · 52 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 4 -5 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9196,-340182] |
[a1,a2,a3,a4,a6] |
j |
-10028098275655/507904 |
j-invariant |
L |
0.97506626951136 |
L(r)(E,1)/r! |
Ω |
0.24376657540862 |
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 |
75950df1 75950bd1 |
Quadratic twists by: 5 -7 |