Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952a |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
783059576269824 = 210 · 33 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 2 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23667,388962] |
[a1,a2,a3,a4,a6] |
Generators |
[147:294:1] |
Generators of the group modulo torsion |
j |
9198252/4913 |
j-invariant |
L |
7.7463309585923 |
L(r)(E,1)/r! |
Ω |
0.44108285373037 |
Real period |
R |
1.4635063924475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59976a1 119952b1 119952i1 |
Quadratic twists by: -4 -3 -7 |