Atkin-Lehner |
2+ 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974m |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
78625297296 = 24 · 33 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42704,-3414480] |
[a1,a2,a3,a4,a6] |
Generators |
[-61240:33015:512] |
Generators of the group modulo torsion |
j |
73207745356537/668304 |
j-invariant |
L |
4.5149591124346 |
L(r)(E,1)/r! |
Ω |
0.33210952330157 |
Real period |
R |
6.7973948288819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282i1 |
Quadratic twists by: -7 |