Atkin-Lehner |
2+ 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736b |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-9937867968 = -1 · 26 · 39 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -5 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,270,4482] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:243:8] |
Generators of the group modulo torsion |
j |
1728000/7889 |
j-invariant |
L |
5.5059085224169 |
L(r)(E,1)/r! |
Ω |
0.92432946948285 |
Real period |
R |
2.9783257517171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736s1 46368bc1 92736g1 |
Quadratic twists by: -4 8 -3 |