Atkin-Lehner |
2+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
124600g |
Isogeny class |
Conductor |
124600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-552695696000000 = -1 · 210 · 56 · 72 · 893 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 2 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4925,-1123250] |
[a1,a2,a3,a4,a6] |
Generators |
[671:17444:1] |
Generators of the group modulo torsion |
j |
825700284/34543481 |
j-invariant |
L |
4.7726223214048 |
L(r)(E,1)/r! |
Ω |
0.24904826599818 |
Real period |
R |
1.5969535891382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000113882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4984d1 |
Quadratic twists by: 5 |