Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600cg |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-209616076800 = -1 · 215 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,22068] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:144:1] |
Generators of the group modulo torsion |
j |
7604375/2047032 |
j-invariant |
L |
4.9660423503989 |
L(r)(E,1)/r! |
Ω |
0.7746543393417 |
Real period |
R |
0.17807377282833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1950o1 62400fe1 46800dl1 15600bx1 |
Quadratic twists by: -4 8 -3 5 |