Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
36600o |
Isogeny class |
Conductor |
36600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-69768750000 = -1 · 24 · 3 · 58 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,117,12738] |
[a1,a2,a3,a4,a6] |
Generators |
[2334:22204:27] |
Generators of the group modulo torsion |
j |
702464/279075 |
j-invariant |
L |
8.1386291552869 |
L(r)(E,1)/r! |
Ω |
0.85167238771787 |
Real period |
R |
4.7780280731513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73200q1 109800bx1 7320o1 |
Quadratic twists by: -4 -3 5 |