Atkin-Lehner |
2+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600a |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9953280 |
Modular degree for the optimal curve |
Δ |
1.7023180625E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-226934075,-1315823479750] |
[a1,a2,a3,a4,a6] |
Generators |
[57513376930210:10343748473546875:1473760072] |
Generators of the group modulo torsion |
j |
80779816936648490883876/10639487890625 |
j-invariant |
L |
3.1147611238482 |
L(r)(E,1)/r! |
Ω |
0.038897763384775 |
Real period |
R |
20.018896003534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41800e1 16720a1 |
Quadratic twists by: -4 5 |