Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cs |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
45158400 |
Modular degree for the optimal curve |
Δ |
-4116930200370000 = -1 · 24 · 38 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -3 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13865817042,628447072175716] |
[a1,a2,a3,a4,a6] |
Generators |
[68624:254678:1] |
Generators of the group modulo torsion |
j |
-134057911417971280740025/1872 |
j-invariant |
L |
5.2223250659977 |
L(r)(E,1)/r! |
Ω |
0.10123218413193 |
Real period |
R |
2.1494831869971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25350ci1 76050ev2 5850bw1 |
Quadratic twists by: -3 5 13 |