Atkin-Lehner |
3- 7- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65331o |
Isogeny class |
Conductor |
65331 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1834560 |
Modular degree for the optimal curve |
Δ |
1.5027477731345E+19 |
Discriminant |
Eigenvalues |
1 3- 3 7- -2 -6 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2347623,1372459518] |
[a1,a2,a3,a4,a6] |
Generators |
[1086:9600:1] |
Generators of the group modulo torsion |
j |
1962823979251420033393/20613824048484779 |
j-invariant |
L |
8.7739733441487 |
L(r)(E,1)/r! |
Ω |
0.2225223379552 |
Real period |
R |
2.8164021082779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7259d1 |
Quadratic twists by: -3 |