Atkin-Lehner |
3+ 5+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
42735c |
Isogeny class |
Conductor |
42735 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-75252617055 = -1 · 34 · 5 · 73 · 114 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,959,6998] |
[a1,a2,a3,a4,a6] |
Generators |
[2:93:1] [4:102:1] |
Generators of the group modulo torsion |
j |
97532920647791/75252617055 |
j-invariant |
L |
4.812170946929 |
L(r)(E,1)/r! |
Ω |
0.69879149993796 |
Real period |
R |
1.1477364725043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205bg1 |
Quadratic twists by: -3 |