Atkin-Lehner |
3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
72963a |
Isogeny class |
Conductor |
72963 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
852480 |
Modular degree for the optimal curve |
Δ |
1740722943407481 = 33 · 118 · 673 |
Discriminant |
Eigenvalues |
1 3+ 2 2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2275851,1322057512] |
[a1,a2,a3,a4,a6] |
Generators |
[39924:750203:64] |
Generators of the group modulo torsion |
j |
27254324376836019/36392323 |
j-invariant |
L |
8.9957532240015 |
L(r)(E,1)/r! |
Ω |
0.39975110992642 |
Real period |
R |
3.7505642047467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72963c1 6633a1 |
Quadratic twists by: -3 -11 |