Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
73800bs |
Isogeny class |
Conductor |
73800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-35424000000 = -1 · 211 · 33 · 56 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 3 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2475,-48250] |
[a1,a2,a3,a4,a6] |
Generators |
[64810:252129:1000] |
Generators of the group modulo torsion |
j |
-1940598/41 |
j-invariant |
L |
5.8106890247448 |
L(r)(E,1)/r! |
Ω |
0.3380122521268 |
Real period |
R |
8.595382252343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73800b1 2952a1 |
Quadratic twists by: -3 5 |