Atkin-Lehner |
2+ 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850h |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
308736 |
Modular degree for the optimal curve |
Δ |
-102825498437500 = -1 · 22 · 58 · 313 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11599,-81552] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-1508:1] [57:846:1] |
Generators of the group modulo torsion |
j |
11046359008511/6580831900 |
j-invariant |
L |
5.457304818892 |
L(r)(E,1)/r! |
Ω |
0.34858697646202 |
Real period |
R |
1.3046253368146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570i1 |
Quadratic twists by: 5 |