Atkin-Lehner |
2- 3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11850z |
Isogeny class |
Conductor |
11850 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
79200 |
Modular degree for the optimal curve |
Δ |
515315544883200 = 230 · 35 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 -1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-164103,25550217] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:7269:1] |
Generators of the group modulo torsion |
j |
19549399897127944345/20612621795328 |
j-invariant |
L |
7.8150833580672 |
L(r)(E,1)/r! |
Ω |
0.51956779315947 |
Real period |
R |
2.506918077217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
94800bj1 35550j1 11850h2 |
Quadratic twists by: -4 -3 5 |