Atkin-Lehner |
2+ 3- 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
100890f |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
42364114560000 = 210 · 310 · 54 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14625,608125] |
[a1,a2,a3,a4,a6] |
Generators |
[18:583:1] |
Generators of the group modulo torsion |
j |
474570252234001/58112640000 |
j-invariant |
L |
3.6837210701745 |
L(r)(E,1)/r! |
Ω |
0.62047735076705 |
Real period |
R |
2.9684573399047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999400505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33630k1 |
Quadratic twists by: -3 |