Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808o |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-1629936 = -1 · 24 · 33 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21,-49] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-21:1] |
Generators of the group modulo torsion |
j |
6912/11 |
j-invariant |
L |
4.9142845860504 |
L(r)(E,1)/r! |
Ω |
1.4067144744994 |
Real period |
R |
0.4366810638489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616q1 38808bp1 38808n1 |
Quadratic twists by: -4 -3 -7 |