Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
46800bi |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-831606750000 = -1 · 24 · 39 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1050,41875] |
[a1,a2,a3,a4,a6] |
Generators |
[11:234:1] |
Generators of the group modulo torsion |
j |
702464/4563 |
j-invariant |
L |
3.847425220588 |
L(r)(E,1)/r! |
Ω |
0.6469656586545 |
Real period |
R |
2.9734385195712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23400bn1 15600u1 1872f1 |
Quadratic twists by: -4 -3 5 |