Atkin-Lehner |
2- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
95680by |
Isogeny class |
Conductor |
95680 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1634304 |
Modular degree for the optimal curve |
Δ |
-444802159360000000 = -1 · 214 · 57 · 134 · 233 |
Discriminant |
Eigenvalues |
2- 0 5- -3 2 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3177872,-2180719136] |
[a1,a2,a3,a4,a6] |
Generators |
[2193:37375:1] |
Generators of the group modulo torsion |
j |
-216627193999441972224/27148569296875 |
j-invariant |
L |
6.1964145936186 |
L(r)(E,1)/r! |
Ω |
0.056536926256447 |
Real period |
R |
1.304755056567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95680u1 23920b1 |
Quadratic twists by: -4 8 |