Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440cb |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
44210545990041600 = 220 · 310 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325452,70742896] |
[a1,a2,a3,a4,a6] |
Generators |
[552:7700:1] |
Generators of the group modulo torsion |
j |
19948814692561/231344100 |
j-invariant |
L |
6.7805580145842 |
L(r)(E,1)/r! |
Ω |
0.36151879824556 |
Real period |
R |
4.6889387547006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37440ey3 1170d4 12480u3 |
Quadratic twists by: -4 8 -3 |