Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498a |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-7074077420525631264 = -1 · 25 · 35 · 7 · 379 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -4 6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-554473,-204264539] |
[a1,a2,a3,a4,a6] |
Generators |
[753262578063:1009845794150:849278123] |
Generators of the group modulo torsion |
j |
-7347774183121/2757144096 |
j-invariant |
L |
2.9709264657787 |
L(r)(E,1)/r! |
Ω |
0.085872891113017 |
Real period |
R |
17.298395496366 |
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 |
1554h1 |
Quadratic twists by: 37 |