Atkin-Lehner |
2- 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62436f |
Isogeny class |
Conductor |
62436 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
2007978990087312 = 24 · 34 · 117 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -4 -5 11- -6 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105310,13011121] |
[a1,a2,a3,a4,a6] |
Generators |
[1324:-46827:1] [-332:3357:1] |
Generators of the group modulo torsion |
j |
4556806433536/70840737 |
j-invariant |
L |
4.9297238057435 |
L(r)(E,1)/r! |
Ω |
0.46694618479331 |
Real period |
R |
0.14663014373167 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676b1 |
Quadratic twists by: -11 |