Atkin-Lehner |
2+ 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296d |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-387597056 = -1 · 28 · 72 · 11 · 532 |
Discriminant |
Eigenvalues |
2+ -1 -3 7+ 11- -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1097,14389] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:77:1] [12:53:1] |
Generators of the group modulo torsion |
j |
-570820369408/1514051 |
j-invariant |
L |
6.4591017705481 |
L(r)(E,1)/r! |
Ω |
1.695114675226 |
Real period |
R |
0.9526054291397 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32648h1 |
Quadratic twists by: -4 |