Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808z |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-11323256344058736 = -1 · 24 · 313 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 11+ 3 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5439,5122019] |
[a1,a2,a3,a4,a6] |
Generators |
[175:3087:1] |
Generators of the group modulo torsion |
j |
-12967168/8251551 |
j-invariant |
L |
4.9101726725366 |
L(r)(E,1)/r! |
Ω |
0.32642909915071 |
Real period |
R |
0.94013000934 |
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 |
77616cp1 12936u1 5544h1 |
Quadratic twists by: -4 -3 -7 |