Atkin-Lehner |
2+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
64130f |
Isogeny class |
Conductor |
64130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-150228372800 = -1 · 26 · 52 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 11- 3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1087,-12107] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-322:1] |
Generators of the group modulo torsion |
j |
80062991/84800 |
j-invariant |
L |
4.0604597524045 |
L(r)(E,1)/r! |
Ω |
0.55696588019462 |
Real period |
R |
0.91129005765366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
530d1 |
Quadratic twists by: -11 |