Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350be |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-13327752960000000 = -1 · 214 · 39 · 57 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8395,5544397] |
[a1,a2,a3,a4,a6] |
Generators |
[55:2456:1] |
Generators of the group modulo torsion |
j |
212776173/43335680 |
j-invariant |
L |
7.0474846796108 |
L(r)(E,1)/r! |
Ω |
0.30742955978406 |
Real period |
R |
0.81871073683175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800cj1 10350b1 2070b1 |
Quadratic twists by: -4 -3 5 |