Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2280b |
Isogeny class |
Conductor |
2280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
-156385200 = -1 · 24 · 3 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95,732] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
-5988775936/9774075 |
j-invariant |
L |
2.8311780190418 |
L(r)(E,1)/r! |
Ω |
1.6334919832784 |
Real period |
R |
1.7332059465389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4560g1 18240y1 6840r1 11400bj1 |
Quadratic twists by: -4 8 -3 5 |