Atkin-Lehner |
2+ 3+ 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450f |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-7212003750000 = -1 · 24 · 33 · 57 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4625,47125] |
[a1,a2,a3,a4,a6] |
j |
699990535439/461568240 |
j-invariant |
L |
1.8669205441226 |
L(r)(E,1)/r! |
Ω |
0.46673014839365 |
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 |
18690o1 |
Quadratic twists by: 5 |