Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800f |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-162067500000000 = -1 · 28 · 33 · 510 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1991033,-1080685563] |
[a1,a2,a3,a4,a6] |
Generators |
[47060327652636246209404156:4988495397964112387461174025:4120838776253323237933] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
5.2087263021514 |
L(r)(E,1)/r! |
Ω |
0.063547712410281 |
Real period |
R |
40.982799416307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dt1 11760s1 58800da1 |
Quadratic twists by: -4 5 -7 |