Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
96800bv |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
669871503125000000 = 26 · 511 · 118 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12615258,-17241906988] |
[a1,a2,a3,a4,a6] |
Generators |
[80670982328:5385358488750:12008989] |
Generators of the group modulo torsion |
j |
125330290485184/378125 |
j-invariant |
L |
10.240026708384 |
L(r)(E,1)/r! |
Ω |
0.080107945965149 |
Real period |
R |
15.978481568737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96800bz1 19360m1 8800c1 |
Quadratic twists by: -4 5 -11 |