Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77700f |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
603842501052000000 = 28 · 38 · 56 · 75 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2265908,-1311551688] |
[a1,a2,a3,a4,a6] |
Generators |
[13917:1631700:1] |
Generators of the group modulo torsion |
j |
321655313992678864/150960625263 |
j-invariant |
L |
4.739393158518 |
L(r)(E,1)/r! |
Ω |
0.12305554937741 |
Real period |
R |
3.8514257842634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3108f2 |
Quadratic twists by: 5 |