Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bl |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1074477963888 = -1 · 24 · 39 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38955,2959747] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-27:1] |
Generators of the group modulo torsion |
j |
-4764064000/783 |
j-invariant |
L |
7.3258874717537 |
L(r)(E,1)/r! |
Ω |
0.84487672350925 |
Real period |
R |
1.0838692934561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999628906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34104m1 2088k1 |
Quadratic twists by: -3 -7 |