Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850bs |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-3426570000 = -1 · 24 · 33 · 54 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-276,3298] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:51:1] |
Generators of the group modulo torsion |
j |
-3700897225/5482512 |
j-invariant |
L |
5.4639848276214 |
L(r)(E,1)/r! |
Ω |
1.2669091515001 |
Real period |
R |
0.71880776680691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116550fu1 38850bx1 |
Quadratic twists by: -3 5 |