Atkin-Lehner |
2+ 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11850a |
Isogeny class |
Conductor |
11850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-36515700937500 = -1 · 22 · 3 · 57 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4750,264000] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:255:1] |
Generators of the group modulo torsion |
j |
758301032159/2337004860 |
j-invariant |
L |
2.7410951277608 |
L(r)(E,1)/r! |
Ω |
0.45904865807498 |
Real period |
R |
2.9856259021164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94800cw3 35550bj3 2370l4 |
Quadratic twists by: -4 -3 5 |