Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050da |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-4331285156250 = -1 · 2 · 38 · 59 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2133,-93209] |
[a1,a2,a3,a4,a6] |
Generators |
[4916:43667:64] |
Generators of the group modulo torsion |
j |
4459/18 |
j-invariant |
L |
6.2524405489818 |
L(r)(E,1)/r! |
Ω |
0.39381505715054 |
Real period |
R |
3.9691477226707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350cn1 76050gf1 76050gh1 |
Quadratic twists by: -3 5 13 |