Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bj |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
238239296520192 = 218 · 33 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15528,62064] |
[a1,a2,a3,a4,a6] |
Generators |
[-124:256:1] [-94:826:1] |
Generators of the group modulo torsion |
j |
57066625/32832 |
j-invariant |
L |
9.2330457404109 |
L(r)(E,1)/r! |
Ω |
0.47471012130643 |
Real period |
R |
9.7249303579923 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13794m1 912e1 |
Quadratic twists by: -4 -11 |