Atkin-Lehner |
2+ 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17490m |
Isogeny class |
Conductor |
17490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
10638397440 = 212 · 34 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2118,-37352] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:27:1] |
Generators of the group modulo torsion |
j |
1050042283317721/10638397440 |
j-invariant |
L |
5.0714423084099 |
L(r)(E,1)/r! |
Ω |
0.70421997889699 |
Real period |
R |
1.8003757562918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52470z1 87450bk1 |
Quadratic twists by: -3 5 |