Atkin-Lehner |
2+ 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
88330i |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-808274706250 = -1 · 2 · 55 · 116 · 73 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 11- 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2296,8952] |
[a1,a2,a3,a4,a6] |
Generators |
[10:176:1] |
Generators of the group modulo torsion |
j |
756058031/456250 |
j-invariant |
L |
1.761522882736 |
L(r)(E,1)/r! |
Ω |
0.5485023837332 |
Real period |
R |
1.6057568240814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999507644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730h1 |
Quadratic twists by: -11 |