Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35520c |
Isogeny class |
Conductor |
35520 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-71928000 = -1 · 26 · 35 · 53 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9,405] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
1124864/1123875 |
j-invariant |
L |
3.7842265718568 |
L(r)(E,1)/r! |
Ω |
1.5196365253786 |
Real period |
R |
2.4902182256469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35520w1 17760z1 106560cs1 |
Quadratic twists by: -4 8 -3 |