Atkin-Lehner |
2+ 3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64614c |
Isogeny class |
Conductor |
64614 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-516912 = -1 · 24 · 3 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24,48] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] [-1:9:1] |
Generators of the group modulo torsion |
j |
-13475473/4272 |
j-invariant |
L |
7.0600793440044 |
L(r)(E,1)/r! |
Ω |
2.7739846459194 |
Real period |
R |
1.272551986611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64614l1 |
Quadratic twists by: -11 |