Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
51744be |
Isogeny class |
Conductor |
51744 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
1553664 |
Modular degree for the optimal curve |
Δ |
-3.689699255792E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -5 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1164371,-787158373] |
[a1,a2,a3,a4,a6] |
Generators |
[653:15876:1] |
Generators of the group modulo torsion |
j |
7393553366528/15625959723 |
j-invariant |
L |
5.9462164115552 |
L(r)(E,1)/r! |
Ω |
0.088251005451075 |
Real period |
R |
0.33028654478758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51744d1 103488ev1 51744w1 |
Quadratic twists by: -4 8 -7 |