Atkin-Lehner |
2+ 3+ 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
100890b |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
1031450932800 = 26 · 33 · 52 · 193 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10245,-393579] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:51:1] [-57:81:1] |
Generators of the group modulo torsion |
j |
4404733940611467/38201886400 |
j-invariant |
L |
7.7911076791883 |
L(r)(E,1)/r! |
Ω |
0.47478481877397 |
Real period |
R |
4.1024414487372 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100890o1 |
Quadratic twists by: -3 |