Atkin-Lehner |
2+ 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
102336r |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
60360228864 = 222 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,37089] |
[a1,a2,a3,a4,a6] |
Generators |
[41:-128:1] |
Generators of the group modulo torsion |
j |
4165509529/230256 |
j-invariant |
L |
3.999079278144 |
L(r)(E,1)/r! |
Ω |
1.0934823936635 |
Real period |
R |
0.91429895999035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336cq1 3198c1 |
Quadratic twists by: -4 8 |