Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240bd |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
308448 |
Modular degree for the optimal curve |
Δ |
-5160944385149440 = -1 · 29 · 5 · 1710 |
Discriminant |
Eigenvalues |
2- 2 5- 3 -3 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27840,3900740] |
[a1,a2,a3,a4,a6] |
Generators |
[10987744:325213566:12167] |
Generators of the group modulo torsion |
j |
-2312/5 |
j-invariant |
L |
9.5376834259264 |
L(r)(E,1)/r! |
Ω |
0.38259303194166 |
Real period |
R |
12.464528401773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240o1 92480z1 46240x1 |
Quadratic twists by: -4 8 17 |