Atkin-Lehner |
2- 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650cf |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-1633920000000000 = -1 · 216 · 3 · 510 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11888,-2012719] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1253:1] |
Generators of the group modulo torsion |
j |
-19026212425/167313408 |
j-invariant |
L |
9.2337299210339 |
L(r)(E,1)/r! |
Ω |
0.20037457277497 |
Real period |
R |
2.8801464780951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650bl1 |
Quadratic twists by: 5 |