Atkin-Lehner |
2- 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304v |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
283707297792 = 212 · 311 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2640,45488] |
[a1,a2,a3,a4,a6] |
Generators |
[1:207:1] |
Generators of the group modulo torsion |
j |
681472000/95013 |
j-invariant |
L |
5.3392769898554 |
L(r)(E,1)/r! |
Ω |
0.93757410029655 |
Real period |
R |
2.8473893360187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3519f1 18768p1 |
Quadratic twists by: -4 -3 |