Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984w |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-280031582654208 = -1 · 28 · 36 · 7 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13431,-1003574] |
[a1,a2,a3,a4,a6] |
Generators |
[40161:1543960:27] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
4.4794070802513 |
L(r)(E,1)/r! |
Ω |
0.21287520353167 |
Real period |
R |
5.26060222843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968cd1 6776h1 5544y1 |
Quadratic twists by: -4 -3 -11 |