Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cs |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
2420 |
Product of Tamagawa factors cp |
deg |
4646400 |
Modular degree for the optimal curve |
Δ |
-1.0071928881E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2014265,1881903225] |
[a1,a2,a3,a4,a6] |
Generators |
[12130:-1333565:1] |
Generators of the group modulo torsion |
j |
-18444949264790241317089/20554956900000000000 |
j-invariant |
L |
14.239548652025 |
L(r)(E,1)/r! |
Ω |
0.14161081624166 |
Real period |
R |
0.041551282351007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86730bu1 |
Quadratic twists by: -7 |