Atkin-Lehner |
3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90387k |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
8424659060126910513 = 316 · 119 · 83 |
Discriminant |
Eigenvalues |
1 3- 4 -2 11- -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2594565,-1601866832] |
[a1,a2,a3,a4,a6] |
Generators |
[-1349845181424272829946740:1005022964686624387671866:1528957185830533595375] |
Generators of the group modulo torsion |
j |
1495663284827881/6523320177 |
j-invariant |
L |
9.220396453398 |
L(r)(E,1)/r! |
Ω |
0.11898641327334 |
Real period |
R |
38.745585356261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30129j1 8217l1 |
Quadratic twists by: -3 -11 |