Atkin-Lehner |
19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
101251c |
Isogeny class |
Conductor |
101251 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-36551611 = -1 · 193 · 732 |
Discriminant |
Eigenvalues |
-2 0 1 1 5 -6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,73,164] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:9:1] [14536:80893:512] |
Generators of the group modulo torsion |
j |
8073216/6859 |
j-invariant |
L |
6.4293953514249 |
L(r)(E,1)/r! |
Ω |
1.3344092947637 |
Real period |
R |
1.6060527997333 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101251d1 |
Quadratic twists by: 73 |