Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bx |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
1665181800 = 23 · 311 · 52 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 4 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-455,3287] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:88:1] |
Generators of the group modulo torsion |
j |
570420625/91368 |
j-invariant |
L |
8.6755997716258 |
L(r)(E,1)/r! |
Ω |
1.4313649428754 |
Real period |
R |
0.50508897205707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050i1 21150bi1 |
Quadratic twists by: -3 5 |