Atkin-Lehner |
3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63075a |
Isogeny class |
Conductor |
63075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-27350972628642675 = -1 · 37 · 52 · 298 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 2 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-128953,19562088] |
[a1,a2,a3,a4,a6] |
Generators |
[98028:837885:343] |
Generators of the group modulo torsion |
j |
-15947530240/1839267 |
j-invariant |
L |
4.5623801737649 |
L(r)(E,1)/r! |
Ω |
0.36443627530951 |
Real period |
R |
6.2595033518503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63075s1 2175g1 |
Quadratic twists by: 5 29 |