Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280dc |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-127084807452960000 = -1 · 28 · 39 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27783,-17243982] |
[a1,a2,a3,a4,a6] |
Generators |
[10738530522214:-51044018061275:35481557656] |
Generators of the group modulo torsion |
j |
-11664/625 |
j-invariant |
L |
6.0154265371962 |
L(r)(E,1)/r! |
Ω |
0.14474964187959 |
Real period |
R |
20.778726838577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8820d2 35280do2 35280dm2 |
Quadratic twists by: -4 -3 -7 |