Atkin-Lehner |
2- 3+ 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610z |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
358176 |
Modular degree for the optimal curve |
Δ |
1382078750625000 = 23 · 313 · 57 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 4 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-168280,-26580175] |
[a1,a2,a3,a4,a6] |
j |
527013067025621877121/1382078750625000 |
j-invariant |
L |
4.9508430587617 |
L(r)(E,1)/r! |
Ω |
0.23575443136575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830r1 |
Quadratic twists by: -3 |