Atkin-Lehner |
2+ 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32550b |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-2325437100000000000 = -1 · 211 · 37 · 511 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-336625,104903125] |
[a1,a2,a3,a4,a6] |
Generators |
[6390:145705:8] |
Generators of the group modulo torsion |
j |
-269988211034534161/148827974400000 |
j-invariant |
L |
3.1948487701479 |
L(r)(E,1)/r! |
Ω |
0.24041926368233 |
Real period |
R |
6.6443277489813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650db1 6510bc1 |
Quadratic twists by: -3 5 |