Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850cb |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
795648000000 = 216 · 3 · 56 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2538,23031] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
115714886617/50921472 |
j-invariant |
L |
8.1492398091943 |
L(r)(E,1)/r! |
Ω |
0.80542687820764 |
Real period |
R |
1.2647392379257 |
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 |
116550br1 1554c1 |
Quadratic twists by: -3 5 |