Atkin-Lehner |
3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575cz |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
1346400 |
Modular degree for the optimal curve |
Δ |
-2078803506666796875 = -1 · 317 · 58 · 72 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -2 -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,271487,-42961108] |
[a1,a2,a3,a4,a6] |
Generators |
[827:26924:1] |
Generators of the group modulo torsion |
j |
115615114298495/108606877083 |
j-invariant |
L |
5.4961806997171 |
L(r)(E,1)/r! |
Ω |
0.14286780609144 |
Real period |
R |
0.37716071635191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575o1 106575bf1 |
Quadratic twists by: 5 -7 |