Atkin-Lehner |
2+ 3- 5- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390q |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1299862510798500 = -1 · 22 · 37 · 53 · 117 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23976,-989420] |
[a1,a2,a3,a4,a6] |
Generators |
[41:227:1] [74:1052:1] |
Generators of the group modulo torsion |
j |
2090817779997311/1783076146500 |
j-invariant |
L |
7.7606431685765 |
L(r)(E,1)/r! |
Ω |
0.26654059099687 |
Real period |
R |
0.17331058058387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20130j1 |
Quadratic twists by: -3 |