Atkin-Lehner |
2+ 3+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24090f |
Isogeny class |
Conductor |
24090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-128255160 = -1 · 23 · 3 · 5 · 114 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 11+ 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-47,-579] |
[a1,a2,a3,a4,a6] |
Generators |
[85:744:1] |
Generators of the group modulo torsion |
j |
-11867954041/128255160 |
j-invariant |
L |
3.3293880648922 |
L(r)(E,1)/r! |
Ω |
0.78770596879162 |
Real period |
R |
2.1133444437394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72270be1 120450bw1 |
Quadratic twists by: -3 5 |