Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326f |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
-2925977635081949184 = -1 · 212 · 314 · 114 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11- 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-363123,-117907731] |
[a1,a2,a3,a4,a6] |
Generators |
[1782:-70875:1] |
Generators of the group modulo torsion |
j |
-361673020751307529/199848209485824 |
j-invariant |
L |
3.9846730808499 |
L(r)(E,1)/r! |
Ω |
0.094806166890391 |
Real period |
R |
1.7512367646637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003621 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326x1 |
Quadratic twists by: -11 |