Atkin-Lehner |
3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
59823d |
Isogeny class |
Conductor |
59823 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
2224159317 = 39 · 173 · 23 |
Discriminant |
Eigenvalues |
0 3- -2 -1 -4 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-15096,713902] |
[a1,a2,a3,a4,a6] |
Generators |
[578:-157:8] [-110:1021:1] |
Generators of the group modulo torsion |
j |
106227040256/621 |
j-invariant |
L |
6.8819737548037 |
L(r)(E,1)/r! |
Ω |
1.2995279957645 |
Real period |
R |
1.3239371866616 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19941c1 59823l1 |
Quadratic twists by: -3 17 |