Atkin-Lehner |
3- 5- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
118755s |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-73559457828675 = -1 · 36 · 52 · 77 · 132 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 13+ 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18282,-1037075] |
[a1,a2,a3,a4,a6] |
Generators |
[215:2229:1] |
Generators of the group modulo torsion |
j |
-926973454680064/100904606075 |
j-invariant |
L |
6.0960044799018 |
L(r)(E,1)/r! |
Ω |
0.20403494316808 |
Real period |
R |
1.0670449010342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13195c1 |
Quadratic twists by: -3 |