Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74415c |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44800 |
Modular degree for the optimal curve |
Δ |
16342650225 = 32 · 52 · 116 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-728,4107] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:823:8] |
Generators of the group modulo torsion |
j |
24137569/9225 |
j-invariant |
L |
4.8500258850212 |
L(r)(E,1)/r! |
Ω |
1.1281763930439 |
Real period |
R |
2.1494980368852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001659 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
615a1 |
Quadratic twists by: -11 |