Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
108780t |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
-128720335615200000 = -1 · 28 · 33 · 55 · 76 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91205,-20226975] |
[a1,a2,a3,a4,a6] |
Generators |
[2035:90650:1] |
Generators of the group modulo torsion |
j |
-2785840267264/4273846875 |
j-invariant |
L |
5.897138252656 |
L(r)(E,1)/r! |
Ω |
0.13029862354733 |
Real period |
R |
0.50287375556797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2220c1 |
Quadratic twists by: -7 |