Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
104370cf |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-700270515000 = -1 · 23 · 34 · 54 · 73 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2031,52653] |
[a1,a2,a3,a4,a6] |
Generators |
[1:224:1] |
Generators of the group modulo torsion |
j |
-2701299428983/2041605000 |
j-invariant |
L |
8.613479490263 |
L(r)(E,1)/r! |
Ω |
0.83148720978872 |
Real period |
R |
0.86326037180228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999995136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104370dr2 |
Quadratic twists by: -7 |