Atkin-Lehner |
2- 7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105154m |
Isogeny class |
Conductor |
105154 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-1809739036672 = -1 · 211 · 77 · 29 · 37 |
Discriminant |
Eigenvalues |
2- -2 0 7- -5 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2792,31296] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:54:1] [32:-408:1] |
Generators of the group modulo torsion |
j |
20458415375/15382528 |
j-invariant |
L |
11.22292296123 |
L(r)(E,1)/r! |
Ω |
0.53435591734243 |
Real period |
R |
0.47733434330635 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15022e1 |
Quadratic twists by: -7 |