Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45864bp |
Isogeny class |
Conductor |
45864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-15984060438528 = -1 · 211 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-210602] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:51548:1] |
Generators of the group modulo torsion |
j |
-31250/91 |
j-invariant |
L |
5.4842623422164 |
L(r)(E,1)/r! |
Ω |
0.28376227005868 |
Real period |
R |
4.8317402636808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91728bi1 5096c1 6552u1 |
Quadratic twists by: -4 -3 -7 |