Atkin-Lehner |
5+ 11- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
120175h |
Isogeny class |
Conductor |
120175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
43187890625 = 58 · 11 · 19 · 232 |
Discriminant |
Eigenvalues |
1 0 5+ 2 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1067,9216] |
[a1,a2,a3,a4,a6] |
Generators |
[0:96:1] |
Generators of the group modulo torsion |
j |
8602523649/2764025 |
j-invariant |
L |
7.464016868199 |
L(r)(E,1)/r! |
Ω |
1.0539202554781 |
Real period |
R |
3.5410728702144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24035c1 |
Quadratic twists by: 5 |