Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850v |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
122750415351562500 = 22 · 316 · 510 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-250317,-45098159] |
[a1,a2,a3,a4,a6] |
Generators |
[668:8909:1] |
Generators of the group modulo torsion |
j |
152281858840201/10776442500 |
j-invariant |
L |
4.6428993112948 |
L(r)(E,1)/r! |
Ω |
0.21439247958272 |
Real period |
R |
5.4140183931956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950w1 6570s1 |
Quadratic twists by: -3 5 |