Atkin-Lehner |
2- 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
1800p |
Isogeny class |
Conductor |
1800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-9841500000000 = -1 · 28 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,-168750] |
[a1,a2,a3,a4,a6] |
Generators |
[129:1242:1] |
Generators of the group modulo torsion |
j |
-432 |
j-invariant |
L |
3.0655878877318 |
L(r)(E,1)/r! |
Ω |
0.29261888826292 |
Real period |
R |
2.6190960415526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3600i1 14400q1 1800d1 1800e1 |
Quadratic twists by: -4 8 -3 5 |