Atkin-Lehner |
2+ 5+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
88450d |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63744 |
Modular degree for the optimal curve |
Δ |
-156468050 = -1 · 2 · 52 · 292 · 612 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 1 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-157,-929] |
[a1,a2,a3,a4,a6] |
Generators |
[134:177:8] [93:838:1] |
Generators of the group modulo torsion |
j |
-17180576145/6258722 |
j-invariant |
L |
4.63418144837 |
L(r)(E,1)/r! |
Ω |
0.66209291791635 |
Real period |
R |
1.7498229186992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88450t1 |
Quadratic twists by: 5 |