Atkin-Lehner |
2+ 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506n |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
8384391835287552 = 224 · 35 · 72 · 19 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-222036,40009810] |
[a1,a2,a3,a4,a6] |
Generators |
[296:345:1] |
Generators of the group modulo torsion |
j |
1210573283321371677625/8384391835287552 |
j-invariant |
L |
5.9129466704982 |
L(r)(E,1)/r! |
Ω |
0.41584457832068 |
Real period |
R |
1.4219126516871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518bk1 |
Quadratic twists by: -3 |