Atkin-Lehner |
3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96237a |
Isogeny class |
Conductor |
96237 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560000 |
Modular degree for the optimal curve |
Δ |
-1.2642597858047E+24 |
Discriminant |
Eigenvalues |
2 3+ 3 -2 5 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-41488551,116217099749] |
[a1,a2,a3,a4,a6] |
Generators |
[13697556741169159698:918524629279093096391:1736394356261384] |
Generators of the group modulo torsion |
j |
-16623546901917696/2661040614977 |
j-invariant |
L |
18.072056268533 |
L(r)(E,1)/r! |
Ω |
0.083042172847271 |
Real period |
R |
27.203130121865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96237b1 5661b1 |
Quadratic twists by: -3 17 |