Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950cv |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-19687824843750000 = -1 · 24 · 32 · 510 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13501,6776648] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:2654:1] |
Generators of the group modulo torsion |
j |
-148035889/10710000 |
j-invariant |
L |
6.4146209413751 |
L(r)(E,1)/r! |
Ω |
0.3178013298315 |
Real period |
R |
2.5230467411552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000101091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bt1 17850f1 |
Quadratic twists by: 5 -7 |