Atkin-Lehner |
2+ 3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184j |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-8.2540989176824E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2985144,2033712000] |
[a1,a2,a3,a4,a6] |
Generators |
[662:18634:1] |
Generators of the group modulo torsion |
j |
-2872895033409792670948/80606434742991927 |
j-invariant |
L |
4.910491010284 |
L(r)(E,1)/r! |
Ω |
0.19165587611495 |
Real period |
R |
1.2810697756307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53592bd1 |
Quadratic twists by: -4 |