Atkin-Lehner |
2+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87814c |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-25999247113292 = -1 · 22 · 238 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 -5 -2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2920,251516] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:534:1] [335:5916:1] |
Generators of the group modulo torsion |
j |
-18609625/175628 |
j-invariant |
L |
5.9321371698766 |
L(r)(E,1)/r! |
Ω |
0.57162779102042 |
Real period |
R |
1.2972027565501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3818c1 |
Quadratic twists by: -23 |