Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bf |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
75457536 = 210 · 3 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232,1220] |
[a1,a2,a3,a4,a6] |
Generators |
[46:300:1] |
Generators of the group modulo torsion |
j |
1354435492/73689 |
j-invariant |
L |
10.780960766113 |
L(r)(E,1)/r! |
Ω |
1.9092832942393 |
Real period |
R |
2.8233004416611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592o1 |
Quadratic twists by: -4 |