Atkin-Lehner |
2- 3+ 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160l |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-43969976718750000 = -1 · 24 · 39 · 510 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,81329,-4726904] |
[a1,a2,a3,a4,a6] |
Generators |
[571935:-23675093:343] |
Generators of the group modulo torsion |
j |
3718216609656129536/2748123544921875 |
j-invariant |
L |
4.4608139835334 |
L(r)(E,1)/r! |
Ω |
0.20190811614164 |
Real period |
R |
11.046643564574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118320o1 |
Quadratic twists by: -4 |