Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488hw |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-596587725888 = -1 · 26 · 3 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1356,32262] |
[a1,a2,a3,a4,a6] |
Generators |
[17:246:1] [-134:573:8] |
Generators of the group modulo torsion |
j |
36594368/79233 |
j-invariant |
L |
12.25054048908 |
L(r)(E,1)/r! |
Ω |
0.63597733595494 |
Real period |
R |
19.262542540278 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488gm1 51744u2 14784by1 |
Quadratic twists by: -4 8 -7 |