Atkin-Lehner |
2+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
102608d |
Isogeny class |
Conductor |
102608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-14013302614784 = -1 · 28 · 117 · 532 |
Discriminant |
Eigenvalues |
2+ 1 3 -4 11- 0 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-436729,-111233597] |
[a1,a2,a3,a4,a6] |
Generators |
[147325542:38149083643:2197] |
Generators of the group modulo torsion |
j |
-20312562936832/30899 |
j-invariant |
L |
8.3693244790495 |
L(r)(E,1)/r! |
Ω |
0.092857380631525 |
Real period |
R |
11.266369487904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51304b1 9328b1 |
Quadratic twists by: -4 -11 |