Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350m |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-271814400000000 = -1 · 214 · 33 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34692,2619216] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:2088:1] |
Generators of the group modulo torsion |
j |
-10945484159427/644300800 |
j-invariant |
L |
5.3814441136422 |
L(r)(E,1)/r! |
Ω |
0.54279075713836 |
Real period |
R |
1.2392998689718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350ct1 12870bf1 |
Quadratic twists by: -3 5 |