Atkin-Lehner |
2- 3- 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482cj |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
-946047839563008 = -1 · 28 · 36 · 74 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -5 13- -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6026,1469348] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:320:1] [218:-3736:1] |
Generators of the group modulo torsion |
j |
10078930017023/394022423808 |
j-invariant |
L |
18.020325947743 |
L(r)(E,1)/r! |
Ω |
0.37533618668348 |
Real period |
R |
0.055568472959057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118482cc1 |
Quadratic twists by: -7 |