Atkin-Lehner |
3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
59823l |
Isogeny class |
Conductor |
59823 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
992256 |
Modular degree for the optimal curve |
Δ |
53685798981080373 = 39 · 179 · 23 |
Discriminant |
Eigenvalues |
0 3- 2 1 4 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4362744,3507401754] |
[a1,a2,a3,a4,a6] |
Generators |
[150280:22046:125] |
Generators of the group modulo torsion |
j |
106227040256/621 |
j-invariant |
L |
6.9942885026872 |
L(r)(E,1)/r! |
Ω |
0.31518183470495 |
Real period |
R |
2.7739100624731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19941i1 59823d1 |
Quadratic twists by: -3 17 |