Atkin-Lehner |
3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42891g |
Isogeny class |
Conductor |
42891 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
633360 |
Modular degree for the optimal curve |
Δ |
-64368206694930753 = -1 · 32 · 17 · 2910 |
Discriminant |
Eigenvalues |
-1 3+ -4 3 5 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14735,-12232114] |
[a1,a2,a3,a4,a6] |
j |
-841/153 |
j-invariant |
L |
0.31098096669243 |
L(r)(E,1)/r! |
Ω |
0.15549048341694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128673h1 42891l1 |
Quadratic twists by: -3 29 |