Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38080bs |
Isogeny class |
Conductor |
38080 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
137280 |
Modular degree for the optimal curve |
Δ |
-18221875000000 = -1 · 26 · 511 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39985,-3071025] |
[a1,a2,a3,a4,a6] |
Generators |
[1170:39375:1] |
Generators of the group modulo torsion |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
9.8285943595487 |
L(r)(E,1)/r! |
Ω |
0.16878246657152 |
Real period |
R |
1.7646157137265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38080s1 9520i1 |
Quadratic twists by: -4 8 |