Atkin-Lehner |
3+ 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
114975l |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1967150390625 = 33 · 59 · 7 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13430,598572] |
[a1,a2,a3,a4,a6] |
j |
5079577959/37303 |
j-invariant |
L |
1.6687920379705 |
L(r)(E,1)/r! |
Ω |
0.83439635746336 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114975k2 114975m2 |
Quadratic twists by: -3 5 |