Atkin-Lehner |
2- 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
91140p |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-7145376000 = -1 · 28 · 3 · 53 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,180,-3900] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
1043504/11625 |
j-invariant |
L |
8.6694770002951 |
L(r)(E,1)/r! |
Ω |
0.65246054587613 |
Real period |
R |
1.4763731343426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91140b1 |
Quadratic twists by: -7 |