Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bq |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
733824 |
Modular degree for the optimal curve |
Δ |
-155855973934080000 = -1 · 213 · 33 · 54 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -7 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,61499,-18059152] |
[a1,a2,a3,a4,a6] |
Generators |
[226:2606:1] |
Generators of the group modulo torsion |
j |
41158354945175975/249369558294528 |
j-invariant |
L |
5.2586853280905 |
L(r)(E,1)/r! |
Ω |
0.16217331938584 |
Real period |
R |
0.77205544043922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550ft1 38850bv1 |
Quadratic twists by: -3 5 |