Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cw |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-664048000 = -1 · 27 · 53 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 0 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100,-1273] |
[a1,a2,a3,a4,a6] |
Generators |
[29:-155:1] |
Generators of the group modulo torsion |
j |
-7243533/43904 |
j-invariant |
L |
8.7405928418937 |
L(r)(E,1)/r! |
Ω |
0.67544237099018 |
Real period |
R |
0.30810822997858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350bf1 42350bg1 |
Quadratic twists by: 5 -11 |