Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326h |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1276704 |
Modular degree for the optimal curve |
Δ |
-129294582162628608 = -1 · 213 · 36 · 118 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 11- 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1306681,-575718491] |
[a1,a2,a3,a4,a6] |
Generators |
[3052933:36156745:2197] |
Generators of the group modulo torsion |
j |
-1151042816548537/603168768 |
j-invariant |
L |
3.3509144880349 |
L(r)(E,1)/r! |
Ω |
0.070601425758136 |
Real period |
R |
7.9104032550334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326z1 |
Quadratic twists by: -11 |