Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
1314a |
Isogeny class |
Conductor |
1314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
10169927073792 = 218 · 312 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8442,258228] |
[a1,a2,a3,a4,a6] |
Generators |
[33:105:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
2.0895657322661 |
L(r)(E,1)/r! |
Ω |
0.69347345131445 |
Real period |
R |
1.506593892171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10512s1 42048q1 438a1 32850bm1 |
Quadratic twists by: -4 8 -3 5 |