Atkin-Lehner |
5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
14455f |
Isogeny class |
Conductor |
14455 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-8805624625 = -1 · 53 · 73 · 593 |
Discriminant |
Eigenvalues |
1 0 5- 7- -5 -6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2354,44785] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:307:1] [16:97:1] |
Generators of the group modulo torsion |
j |
-4206808476207/25672375 |
j-invariant |
L |
7.87670878979 |
L(r)(E,1)/r! |
Ω |
1.309760320656 |
Real period |
R |
0.33410306135013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72275j1 14455b1 |
Quadratic twists by: 5 -7 |