Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690bs |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
43009635778560 = 220 · 37 · 5 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13622,-520891] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:223:1] |
Generators of the group modulo torsion |
j |
383432500775449/58998128640 |
j-invariant |
L |
8.2987581047087 |
L(r)(E,1)/r! |
Ω |
0.44648953293473 |
Real period |
R |
0.92933400366206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230l1 |
Quadratic twists by: -3 |