Atkin-Lehner |
5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005i |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-7.4626572106672E+19 |
Discriminant |
Eigenvalues |
-2 1 5+ 4 -4 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1139436,625646770] |
[a1,a2,a3,a4,a6] |
Generators |
[-375263:8144891:343] |
Generators of the group modulo torsion |
j |
-3477541309272064/1586250921875 |
j-invariant |
L |
3.439989044538 |
L(r)(E,1)/r! |
Ω |
0.18118774098457 |
Real period |
R |
2.3732214349027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3895c1 |
Quadratic twists by: -19 |