Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630w |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3214080 |
Modular degree for the optimal curve |
Δ |
-91642381098372360 = -1 · 23 · 36 · 5 · 617 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -7 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2431751,1459446225] |
[a1,a2,a3,a4,a6] |
Generators |
[676:10825:1] |
Generators of the group modulo torsion |
j |
-30867540216409/1778760 |
j-invariant |
L |
9.2983300299007 |
L(r)(E,1)/r! |
Ω |
0.32074276399558 |
Real period |
R |
0.80527754209902 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024725 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830c1 |
Quadratic twists by: 61 |