Atkin-Lehner |
2+ 3+ 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450w |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-16026675000000 = -1 · 26 · 3 · 58 · 74 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5575,-252875] |
[a1,a2,a3,a4,a6] |
j |
-49070446105/41028288 |
j-invariant |
L |
2.1344503115577 |
L(r)(E,1)/r! |
Ω |
0.26680629321332 |
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 |
93450cn1 |
Quadratic twists by: 5 |