Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bc |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21251362406400 = 214 · 32 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27505,1750897] |
[a1,a2,a3,a4,a6] |
Generators |
[49:720:1] |
Generators of the group modulo torsion |
j |
1193895376/11025 |
j-invariant |
L |
5.309178232222 |
L(r)(E,1)/r! |
Ω |
0.68395591553515 |
Real period |
R |
1.9406141944329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040gr2 5880k2 6720p2 |
Quadratic twists by: -4 8 -7 |