Atkin-Lehner |
5- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
74005o |
Isogeny class |
Conductor |
74005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
219456 |
Modular degree for the optimal curve |
Δ |
1841279996405 = 5 · 194 · 414 |
Discriminant |
Eigenvalues |
-2 -2 5- 4 -1 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-7340,-235536] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:20:1] |
Generators of the group modulo torsion |
j |
335626817536/14128805 |
j-invariant |
L |
2.1909413156695 |
L(r)(E,1)/r! |
Ω |
0.51712795187179 |
Real period |
R |
1.0591872408553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74005r1 |
Quadratic twists by: -19 |