Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200b |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-110700000000000 = -1 · 211 · 33 · 511 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -2 -4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25008,1612512] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1250:1] |
Generators of the group modulo torsion |
j |
-54054018002/3459375 |
j-invariant |
L |
3.4877066336531 |
L(r)(E,1)/r! |
Ω |
0.58408409465804 |
Real period |
R |
0.7464050693892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24600ba1 9840h1 |
Quadratic twists by: -4 5 |