Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620f |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2547475920 = 24 · 36 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5448,154757] |
[a1,a2,a3,a4,a6] |
Generators |
[7:342:1] |
Generators of the group modulo torsion |
j |
1533160062976/218405 |
j-invariant |
L |
3.9060985305675 |
L(r)(E,1)/r! |
Ω |
1.3942299222557 |
Real period |
R |
1.4008085998641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4180c1 |
Quadratic twists by: -3 |