Atkin-Lehner |
3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27075g |
Isogeny class |
Conductor |
27075 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11026378359375 = 3 · 57 · 196 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-722188,-236524594] |
[a1,a2,a3,a4,a6] |
Generators |
[-491:252:1] [2746705:-64157976:2197] |
Generators of the group modulo torsion |
j |
56667352321/15 |
j-invariant |
L |
4.4922415976153 |
L(r)(E,1)/r! |
Ω |
0.16377099645915 |
Real period |
R |
27.430019324192 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225z4 5415k3 75b4 |
Quadratic twists by: -3 5 -19 |