Atkin-Lehner |
3- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
101283s |
Isogeny class |
Conductor |
101283 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
233472 |
Modular degree for the optimal curve |
Δ |
-48397050185211 = -1 · 38 · 77 · 132 · 53 |
Discriminant |
Eigenvalues |
0 3- -3 7- -3 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,4443,-313225] |
[a1,a2,a3,a4,a6] |
Generators |
[51:220:1] [93:-956:1] |
Generators of the group modulo torsion |
j |
82426462208/411368139 |
j-invariant |
L |
8.9083729759639 |
L(r)(E,1)/r! |
Ω |
0.31980406300175 |
Real period |
R |
0.43524565144846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469b1 |
Quadratic twists by: -7 |