Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920cg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
378470400000000 = 222 · 3 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1262401,545517599] |
[a1,a2,a3,a4,a6] |
Generators |
[87605:293256:125] |
Generators of the group modulo torsion |
j |
848742840525560401/1443750000 |
j-invariant |
L |
7.0769172506087 |
L(r)(E,1)/r! |
Ω |
0.45772029853114 |
Real period |
R |
7.7306132938546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001731 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920eq4 2310n4 |
Quadratic twists by: -4 8 |