Atkin-Lehner |
2- 3- 5+ 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310bx |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
606208 |
Modular degree for the optimal curve |
Δ |
-962643737640960 = -1 · 216 · 37 · 5 · 192 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45833,4072457] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-608:1] [-153:2812:1] |
Generators of the group modulo torsion |
j |
-14605692573858121/1320498954240 |
j-invariant |
L |
14.703630938503 |
L(r)(E,1)/r! |
Ω |
0.48434939793633 |
Real period |
R |
0.47433574684871 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34770o1 |
Quadratic twists by: -3 |