Atkin-Lehner |
2+ 3+ 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
92112a |
Isogeny class |
Conductor |
92112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19712 |
Modular degree for the optimal curve |
Δ |
-28002048 = -1 · 28 · 3 · 192 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,76,0] |
[a1,a2,a3,a4,a6] |
Generators |
[25:130:1] |
Generators of the group modulo torsion |
j |
187153328/109383 |
j-invariant |
L |
4.3078572483142 |
L(r)(E,1)/r! |
Ω |
1.2728911140857 |
Real period |
R |
3.3843093089412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000382 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46056f1 |
Quadratic twists by: -4 |