Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400y |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-579532800 = -1 · 211 · 3 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-208,-1568] |
[a1,a2,a3,a4,a6] |
Generators |
[18:14:1] |
Generators of the group modulo torsion |
j |
-19531250/11319 |
j-invariant |
L |
4.7541970622127 |
L(r)(E,1)/r! |
Ω |
0.61198389126628 |
Real period |
R |
1.2947500547118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200cm1 92400cv1 |
Quadratic twists by: -4 5 |