Atkin-Lehner |
2+ 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17850l |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-5170267279800000000 = -1 · 29 · 32 · 58 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -5 -6 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,380300,-61646000] |
[a1,a2,a3,a4,a6] |
Generators |
[259:7240:1] |
Generators of the group modulo torsion |
j |
15571873582964375/13235884236288 |
j-invariant |
L |
2.2574209660115 |
L(r)(E,1)/r! |
Ω |
0.13363991235703 |
Real period |
R |
1.2065583692118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550ef1 17850ca1 124950dv1 |
Quadratic twists by: -3 5 -7 |