Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
107640v |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
22207208400 = 24 · 33 · 52 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12102,-512379] |
[a1,a2,a3,a4,a6] |
Generators |
[145:884:1] |
Generators of the group modulo torsion |
j |
453744538933248/51405575 |
j-invariant |
L |
7.3877008963109 |
L(r)(E,1)/r! |
Ω |
0.45518529118594 |
Real period |
R |
4.057523958624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107640b1 |
Quadratic twists by: -3 |