Atkin-Lehner |
2+ 3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544c |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-61053696 = -1 · 28 · 33 · 112 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 11- -4 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1457,-20931] |
[a1,a2,a3,a4,a6] |
Generators |
[52:203:1] |
Generators of the group modulo torsion |
j |
-1337089389568/238491 |
j-invariant |
L |
3.3226497769539 |
L(r)(E,1)/r! |
Ω |
0.38634490306828 |
Real period |
R |
4.3001082071563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19272f1 115632g1 |
Quadratic twists by: -4 -3 |