Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35700k |
Isogeny class |
Conductor |
35700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4918781700000000 = -1 · 28 · 310 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42492,127512] |
[a1,a2,a3,a4,a6] |
Generators |
[1032702:-71465075:216] |
Generators of the group modulo torsion |
j |
2121167764784/1229695425 |
j-invariant |
L |
5.4357440918675 |
L(r)(E,1)/r! |
Ω |
0.25967349182893 |
Real period |
R |
10.466497857719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100bp2 7140m2 |
Quadratic twists by: -3 5 |