Atkin-Lehner |
2+ 3+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37674b |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
642051534852 = 22 · 33 · 76 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2472,28044] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:246:1] |
Generators of the group modulo torsion |
j |
61887674878875/23779686476 |
j-invariant |
L |
3.9115478885588 |
L(r)(E,1)/r! |
Ω |
0.8304788506014 |
Real period |
R |
2.3549954858731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
37674m3 |
Quadratic twists by: -3 |