Atkin-Lehner |
2+ 7+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123662f |
Isogeny class |
Conductor |
123662 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-8088484096 = -1 · 28 · 72 · 112 · 732 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ 11- -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,437,2550] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-120:1] [36:237:1] |
Generators of the group modulo torsion |
j |
76526256719/66846976 |
j-invariant |
L |
6.1436521921452 |
L(r)(E,1)/r! |
Ω |
0.85337506629181 |
Real period |
R |
0.89990504047594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005803 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123662bl1 |
Quadratic twists by: -11 |