Atkin-Lehner |
2- 3+ 37- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10434g |
Isogeny class |
Conductor |
10434 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
1335552 = 28 · 3 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-114,-513] |
[a1,a2,a3,a4,a6] |
j |
163936758817/1335552 |
j-invariant |
L |
2.9234581843798 |
L(r)(E,1)/r! |
Ω |
1.4617290921899 |
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 |
83472u1 31302g1 |
Quadratic twists by: -4 -3 |