Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520dx |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-14612659200 = -1 · 210 · 39 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 1 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99252,-12035304] |
[a1,a2,a3,a4,a6] |
Generators |
[76208571:3823718265:29791] |
Generators of the group modulo torsion |
j |
-5364759575808/725 |
j-invariant |
L |
7.0664323472468 |
L(r)(E,1)/r! |
Ω |
0.134488372728 |
Real period |
R |
13.135768175529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83520o1 20880bj1 83520dr1 |
Quadratic twists by: -4 8 -3 |