Atkin-Lehner |
2+ 3- 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118818v |
Isogeny class |
Conductor |
118818 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
27891099684 = 22 · 38 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3528,-79380] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:35:1] |
Generators of the group modulo torsion |
j |
6662713744513/38259396 |
j-invariant |
L |
5.0445426091719 |
L(r)(E,1)/r! |
Ω |
0.61967192256456 |
Real period |
R |
2.0351667143282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998547803 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39606u1 |
Quadratic twists by: -3 |