Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351s |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
188120751 = 3 · 76 · 13 · 41 |
Discriminant |
Eigenvalues |
-1 3- 3 7- -1 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-344,2337] |
[a1,a2,a3,a4,a6] |
Generators |
[39:201:1] |
Generators of the group modulo torsion |
j |
38272753/1599 |
j-invariant |
L |
6.1891702298412 |
L(r)(E,1)/r! |
Ω |
1.777905941982 |
Real period |
R |
1.7405786444019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599a1 |
Quadratic twists by: -7 |