Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616cu |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-19771752054413232 = -1 · 24 · 311 · 178 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -4 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,58956,3925487] |
[a1,a2,a3,a4,a6] |
Generators |
[121:3582:1] [17629:2340900:1] |
Generators of the group modulo torsion |
j |
278528/243 |
j-invariant |
L |
9.4061446701255 |
L(r)(E,1)/r! |
Ω |
0.25045907359337 |
Real period |
R |
3.1296346262537 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10404n1 13872ba1 41616ck1 |
Quadratic twists by: -4 -3 17 |