Atkin-Lehner |
2- 3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
106176bo |
Isogeny class |
Conductor |
106176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
20067264 = 26 · 34 · 72 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,234] |
[a1,a2,a3,a4,a6] |
Generators |
[39:234:1] |
Generators of the group modulo torsion |
j |
1036433728/313551 |
j-invariant |
L |
5.2534596694699 |
L(r)(E,1)/r! |
Ω |
2.0055851055346 |
Real period |
R |
2.6194149842121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846195 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106176ca1 53088i2 |
Quadratic twists by: -4 8 |