Atkin-Lehner |
2- 3- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
75888ba |
Isogeny class |
Conductor |
75888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-8464319856 = -1 · 24 · 310 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 -4 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,483,1703] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:27:1] |
Generators of the group modulo torsion |
j |
1068359936/725679 |
j-invariant |
L |
6.7429914459747 |
L(r)(E,1)/r! |
Ω |
0.82325576774889 |
Real period |
R |
2.0476599465857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18972d1 25296j1 |
Quadratic twists by: -4 -3 |