Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
118440t |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
8634276000000 = 28 · 38 · 56 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7383,199082] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:250:1] |
Generators of the group modulo torsion |
j |
238481570896/46265625 |
j-invariant |
L |
3.5490532069299 |
L(r)(E,1)/r! |
Ω |
0.69629453285195 |
Real period |
R |
2.5485286928162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480s1 |
Quadratic twists by: -3 |