Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700m |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-106895092500000000 = -1 · 28 · 38 · 510 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 -3 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159375,-29106250] |
[a1,a2,a3,a4,a6] |
Generators |
[60155:297054:125] |
Generators of the group modulo torsion |
j |
-245650000/58653 |
j-invariant |
L |
5.5050768757782 |
L(r)(E,1)/r! |
Ω |
0.11798154615492 |
Real period |
R |
7.7767485247178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999741205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900a1 119700cd1 |
Quadratic twists by: -3 5 |