Atkin-Lehner |
2- 3- 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
87450cl |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
450 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-31915192320000 = -1 · 215 · 35 · 54 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2913,278217] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-501:1] [-54:555:1] |
Generators of the group modulo torsion |
j |
-4373956571425/51064307712 |
j-invariant |
L |
16.649098502211 |
L(r)(E,1)/r! |
Ω |
0.55934882139023 |
Real period |
R |
0.06614476558702 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87450f1 |
Quadratic twists by: 5 |