Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600n |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-67578300000000 = -1 · 28 · 38 · 58 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 -1 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,-395412] |
[a1,a2,a3,a4,a6] |
Generators |
[82:432:1] |
Generators of the group modulo torsion |
j |
27440/675783 |
j-invariant |
L |
9.8351188058701 |
L(r)(E,1)/r! |
Ω |
0.2850413945005 |
Real period |
R |
2.1565110835297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999814837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61800b1 123600e1 |
Quadratic twists by: -4 5 |