Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
96800b |
Isogeny class |
Conductor |
96800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-94317907640000000 = -1 · 29 · 57 · 119 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 11+ 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-654408,-204514312] |
[a1,a2,a3,a4,a6] |
Generators |
[6478:517150:1] |
Generators of the group modulo torsion |
j |
-1643032/5 |
j-invariant |
L |
8.2448276923349 |
L(r)(E,1)/r! |
Ω |
0.083912799167255 |
Real period |
R |
6.1409193353347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96800c1 19360o1 96800bj1 |
Quadratic twists by: -4 5 -11 |