Atkin-Lehner |
2+ 3+ 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101016a |
Isogeny class |
Conductor |
101016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
48128 |
Modular degree for the optimal curve |
Δ |
-892173312 = -1 · 210 · 33 · 232 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 4 2 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-123,-1530] |
[a1,a2,a3,a4,a6] |
Generators |
[41730:120060:2197] |
Generators of the group modulo torsion |
j |
-7443468/32269 |
j-invariant |
L |
10.284586610077 |
L(r)(E,1)/r! |
Ω |
0.65160585734398 |
Real period |
R |
7.8917235661507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101016j1 |
Quadratic twists by: -3 |