Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
-25504237095321600 = -1 · 215 · 37 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,68159,-3459841] |
[a1,a2,a3,a4,a6] |
Generators |
[1127:38808:1] |
Generators of the group modulo torsion |
j |
1068653802545272/778327548075 |
j-invariant |
L |
7.7642026483676 |
L(r)(E,1)/r! |
Ω |
0.21167972111765 |
Real period |
R |
0.2183274416364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992743 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920dw2 36960bk2 |
Quadratic twists by: -4 8 |