Atkin-Lehner |
5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10045c |
Isogeny class |
Conductor |
10045 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-206812235875 = -1 · 53 · 79 · 41 |
Discriminant |
Eigenvalues |
0 2 5+ 7- -2 2 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6631,-206788] |
[a1,a2,a3,a4,a6] |
j |
-799178752/5125 |
j-invariant |
L |
2.1154019581068 |
L(r)(E,1)/r! |
Ω |
0.26442524476335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90405bq1 50225c1 10045l1 |
Quadratic twists by: -3 5 -7 |