Atkin-Lehner |
3- 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bm |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
9630720 |
Modular degree for the optimal curve |
Δ |
-1.1050864884766E+23 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 11+ 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8760883,-18855653231] |
[a1,a2,a3,a4,a6] |
Generators |
[5693:-340313:1] |
Generators of the group modulo torsion |
j |
-4759347077042014683136/7072553526250471875 |
j-invariant |
L |
6.085651748065 |
L(r)(E,1)/r! |
Ω |
0.041665279834967 |
Real period |
R |
0.96092436350715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21945n1 |
Quadratic twists by: 5 |