Atkin-Lehner |
3- 7+ 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74907d |
Isogeny class |
Conductor |
74907 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
169600 |
Modular degree for the optimal curve |
Δ |
-17145211617387 = -1 · 36 · 7 · 29 · 415 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ -1 5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4005,-173698] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1426:1] |
Generators of the group modulo torsion |
j |
9745491456000/23518808803 |
j-invariant |
L |
2.8613448380265 |
L(r)(E,1)/r! |
Ω |
0.35824856443951 |
Real period |
R |
3.9935189140769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8323b1 |
Quadratic twists by: -3 |