Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bu |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
610146537840000000 = 210 · 33 · 57 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3548008,-2573228512] |
[a1,a2,a3,a4,a6] |
Generators |
[8507:763518:1] |
Generators of the group modulo torsion |
j |
2624033547076/324135 |
j-invariant |
L |
5.9992623480426 |
L(r)(E,1)/r! |
Ω |
0.11000352849941 |
Real period |
R |
4.5447499350554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800be4 88200gw4 5880z3 4200e3 |
Quadratic twists by: -4 -3 5 -7 |