Atkin-Lehner |
2- 5+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20470h |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8928 |
Modular degree for the optimal curve |
Δ |
-63968750 = -1 · 2 · 56 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 -1 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-461,3791] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:501:8] |
Generators of the group modulo torsion |
j |
-10836408452689/63968750 |
j-invariant |
L |
7.6379117394119 |
L(r)(E,1)/r! |
Ω |
1.9743383294168 |
Real period |
R |
1.9342965756198 |
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 |
102350f1 |
Quadratic twists by: 5 |