Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ch |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-6.483222598324E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17715199,26027278815] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:151164:1] |
Generators of the group modulo torsion |
j |
79743193254623804/84085819746075 |
j-invariant |
L |
7.8619369651444 |
L(r)(E,1)/r! |
Ω |
0.060263319861118 |
Real period |
R |
6.5229869373844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999931 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ef3 5880h4 6720i4 |
Quadratic twists by: -4 8 -7 |