Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200dd |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
995328 |
Modular degree for the optimal curve |
Δ |
-268077346324480000 = -1 · 227 · 54 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11+ 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71233,25987137] |
[a1,a2,a3,a4,a6] |
Generators |
[456:9387:1] |
Generators of the group modulo torsion |
j |
-243979633825/1636214272 |
j-invariant |
L |
10.679164279734 |
L(r)(E,1)/r! |
Ω |
0.2667748846182 |
Real period |
R |
5.0038276088489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200he1 3850bb1 123200e1 |
Quadratic twists by: -4 8 5 |