Atkin-Lehner |
2- 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bs |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3359232 |
Modular degree for the optimal curve |
Δ |
-2372625000000000 = -1 · 29 · 33 · 512 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13301813,18667469531] |
[a1,a2,a3,a4,a6] |
Generators |
[2105:-1078:1] |
Generators of the group modulo torsion |
j |
-16658511866617100021641/151848000000 |
j-invariant |
L |
9.3745899591812 |
L(r)(E,1)/r! |
Ω |
0.31984213314607 |
Real period |
R |
1.6283362936242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090d1 |
Quadratic twists by: 5 |