Atkin-Lehner |
2+ 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7378a |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-501704 = -1 · 23 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ 4 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28,56] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
-2565726409/501704 |
j-invariant |
L |
2.2585303405013 |
L(r)(E,1)/r! |
Ω |
2.8208602380546 |
Real period |
R |
0.40032652274523 |
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 |
59024t1 66402ba1 51646o1 125426i1 |
Quadratic twists by: -4 -3 -7 17 |