Atkin-Lehner |
2+ 3+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
101184k |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-79346064384 = -1 · 210 · 32 · 172 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 -2 2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,119,-13583] |
[a1,a2,a3,a4,a6] |
Generators |
[136:1581:1] |
Generators of the group modulo torsion |
j |
180472064/77486391 |
j-invariant |
L |
4.6411741449693 |
L(r)(E,1)/r! |
Ω |
0.5080398212738 |
Real period |
R |
0.76128779171891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999959613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184bh1 6324d1 |
Quadratic twists by: -4 8 |