Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
1590m |
Isogeny class |
Conductor |
1590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
238500 = 22 · 32 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-136,-667] |
[a1,a2,a3,a4,a6] |
Generators |
[17:39:1] |
Generators of the group modulo torsion |
j |
278317173889/238500 |
j-invariant |
L |
3.1992373678976 |
L(r)(E,1)/r! |
Ω |
1.3980430303092 |
Real period |
R |
2.2883683109454 |
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 |
12720bd1 50880bm1 4770o1 7950n1 |
Quadratic twists by: -4 8 -3 5 |