Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
46728o |
Isogeny class |
Conductor |
46728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-1544822153385984 = -1 · 211 · 319 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11+ -6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184251,30499958] |
[a1,a2,a3,a4,a6] |
Generators |
[189610:1543041:1000] |
Generators of the group modulo torsion |
j |
-463335730397426/1034715627 |
j-invariant |
L |
8.340083629146 |
L(r)(E,1)/r! |
Ω |
0.47721186033279 |
Real period |
R |
8.7383448761438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93456q1 15576b1 |
Quadratic twists by: -4 -3 |