Atkin-Lehner |
3+ 7+ 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
74907a |
Isogeny class |
Conductor |
74907 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129792 |
Modular degree for the optimal curve |
Δ |
-2303823287367 = -1 · 39 · 74 · 29 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18065,941896] |
[a1,a2,a3,a4,a6] |
j |
-33122551120875/117046349 |
j-invariant |
L |
1.6454845741452 |
L(r)(E,1)/r! |
Ω |
0.8227423060463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74907b1 |
Quadratic twists by: -3 |