Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200bv |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-1136116112947200 = -1 · 211 · 39 · 52 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 0 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24192,-737748] |
[a1,a2,a3,a4,a6] |
Generators |
[1683438583:27936740096:11697083] |
Generators of the group modulo torsion |
j |
30580960408750/22189767831 |
j-invariant |
L |
4.4923536701051 |
L(r)(E,1)/r! |
Ω |
0.27446691071858 |
Real period |
R |
16.367560149032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400bw1 46200bp1 |
Quadratic twists by: -4 5 |