Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575dc |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1641600 |
Modular degree for the optimal curve |
Δ |
-19991138671875 = -1 · 3 · 59 · 76 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- 7- -3 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-855458,304256369] |
[a1,a2,a3,a4,a6] |
Generators |
[14381670:1101887:27000] |
Generators of the group modulo torsion |
j |
-301302001664/87 |
j-invariant |
L |
18.347767603603 |
L(r)(E,1)/r! |
Ω |
0.54879542733315 |
Real period |
R |
8.3581999058755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575bo1 2175f1 |
Quadratic twists by: 5 -7 |