Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600u |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-11042075520000 = -1 · 210 · 37 · 54 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 1 -6 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9408,-382788] |
[a1,a2,a3,a4,a6] |
Generators |
[122:520:1] |
Generators of the group modulo torsion |
j |
-143906968900/17253243 |
j-invariant |
L |
4.4404294038803 |
L(r)(E,1)/r! |
Ω |
0.24075788667962 |
Real period |
R |
3.0739245074444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96600cc1 |
Quadratic twists by: 5 |