Atkin-Lehner |
3+ 5- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
123225j |
Isogeny class |
Conductor |
123225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
149718375 = 36 · 53 · 31 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43810,-3547775] |
[a1,a2,a3,a4,a6] |
Generators |
[104840646271592:-1277051470928737:335992273408] |
Generators of the group modulo torsion |
j |
74395890722982941/1197747 |
j-invariant |
L |
7.8422834232371 |
L(r)(E,1)/r! |
Ω |
0.32999316987296 |
Real period |
R |
23.76498707408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123225r2 |
Quadratic twists by: 5 |