Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21700b |
Isogeny class |
Conductor |
21700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-164811500000000 = -1 · 28 · 59 · 73 · 312 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7133,662137] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:775:1] |
Generators of the group modulo torsion |
j |
-10035552256/41202875 |
j-invariant |
L |
3.6002430940693 |
L(r)(E,1)/r! |
Ω |
0.50034747474867 |
Real period |
R |
1.798871422244 |
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 |
86800br1 4340a1 |
Quadratic twists by: -4 5 |