Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715o |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26688839187404205 = -1 · 36 · 5 · 712 · 232 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -2 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60720,-9728839] |
[a1,a2,a3,a4,a6] |
Generators |
[1192:39535:1] |
Generators of the group modulo torsion |
j |
-288673724529/311181605 |
j-invariant |
L |
4.8584261216306 |
L(r)(E,1)/r! |
Ω |
0.14585864016919 |
Real period |
R |
4.1636427194027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635j2 7245m2 |
Quadratic twists by: -3 -7 |