Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
21700h |
Isogeny class |
Conductor |
21700 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-21700000000 = -1 · 28 · 58 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,625,3750] |
[a1,a2,a3,a4,a6] |
Generators |
[50:400:1] |
Generators of the group modulo torsion |
j |
270000/217 |
j-invariant |
L |
4.7810147323956 |
L(r)(E,1)/r! |
Ω |
0.77889310200344 |
Real period |
R |
2.0460722702076 |
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 |
86800ch1 21700a1 |
Quadratic twists by: -4 5 |