Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850ca |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-330897105907200 = -1 · 29 · 32 · 52 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 6 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,15212,-493168] |
[a1,a2,a3,a4,a6] |
j |
15571873582964375/13235884236288 |
j-invariant |
L |
5.3789027136737 |
L(r)(E,1)/r! |
Ω |
0.29882792853743 |
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 |
53550cc1 17850l1 124950gg1 |
Quadratic twists by: -3 5 -7 |