Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600bf |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
257280 |
Modular degree for the optimal curve |
Δ |
317046537676800 = 211 · 33 · 52 · 475 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17115,93910] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:6627:8] |
Generators of the group modulo torsion |
j |
401070479670/229345007 |
j-invariant |
L |
5.7284179725755 |
L(r)(E,1)/r! |
Ω |
0.46548673129616 |
Real period |
R |
1.2306297025603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84600a1 84600f1 |
Quadratic twists by: -3 5 |