Atkin-Lehner |
2+ 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
74562a |
Isogeny class |
Conductor |
74562 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2212416457795332 = 22 · 36 · 177 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-66331,-6201431] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:661:1] |
Generators of the group modulo torsion |
j |
1337180541913/91658628 |
j-invariant |
L |
3.7792620859184 |
L(r)(E,1)/r! |
Ω |
0.29877118056451 |
Real period |
R |
1.5811691066173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386h1 |
Quadratic twists by: 17 |