Atkin-Lehner |
2- 3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
30552l |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
231040 |
Modular degree for the optimal curve |
Δ |
-28786296936784896 = -1 · 210 · 319 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,70368,-3898404] |
[a1,a2,a3,a4,a6] |
Generators |
[62:836:1] |
Generators of the group modulo torsion |
j |
37630778822358908/28111618102329 |
j-invariant |
L |
2.6274558812737 |
L(r)(E,1)/r! |
Ω |
0.20888584608766 |
Real period |
R |
3.1446073662779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61104m1 91656f1 |
Quadratic twists by: -4 -3 |