Atkin-Lehner |
3- 5- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165l |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-26187958125 = -1 · 37 · 54 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 3 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,688,3336] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:24:1] [41:294:1] |
Generators of the group modulo torsion |
j |
49471280711/35923125 |
j-invariant |
L |
8.3573361579686 |
L(r)(E,1)/r! |
Ω |
0.75697195169464 |
Real period |
R |
0.34501510176803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41055b1 |
Quadratic twists by: -3 |