Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920fb |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-44077608960000 = -1 · 215 · 3 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2239,316065] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:392:1] [-35:440:1] |
Generators of the group modulo torsion |
j |
37865358712/1345141875 |
j-invariant |
L |
8.6138375157237 |
L(r)(E,1)/r! |
Ω |
0.48382971712114 |
Real period |
R |
1.1127155395531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gl3 36960bw2 |
Quadratic twists by: -4 8 |