Atkin-Lehner |
2- 3+ 5+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
69030ba |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-8259577560000 = -1 · 26 · 33 · 54 · 133 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11663,507031] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:770:1] |
Generators of the group modulo torsion |
j |
-6497643277078227/305910280000 |
j-invariant |
L |
10.230504108514 |
L(r)(E,1)/r! |
Ω |
0.72899995007803 |
Real period |
R |
0.38982261885493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998735 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69030g1 |
Quadratic twists by: -3 |