Atkin-Lehner |
3+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bf |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9424800 |
Modular degree for the optimal curve |
Δ |
-2.4456915375584E+23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -2 1 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,13302862,14748962906] |
[a1,a2,a3,a4,a6] |
Generators |
[-41317242862:323633183014:40353607] |
Generators of the group modulo torsion |
j |
115615114298495/108606877083 |
j-invariant |
L |
2.5857462749608 |
L(r)(E,1)/r! |
Ω |
0.064695237040541 |
Real period |
R |
19.984054416096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106575bt1 106575cz1 |
Quadratic twists by: 5 -7 |