Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700n |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-336017308900000000 = -1 · 28 · 58 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-338508,-80660488] |
[a1,a2,a3,a4,a6] |
Generators |
[14220558:1985200750:729] |
Generators of the group modulo torsion |
j |
-9115564624/714025 |
j-invariant |
L |
9.9154826387692 |
L(r)(E,1)/r! |
Ω |
0.098521356294727 |
Real period |
R |
8.3869147866553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998529 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12740g2 1300d2 |
Quadratic twists by: 5 -7 |