Atkin-Lehner |
2- 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20976g |
Isogeny class |
Conductor |
20976 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-3911210166104064 = -1 · 212 · 36 · 195 · 232 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 1 0 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22581,-3287709] |
[a1,a2,a3,a4,a6] |
Generators |
[198:207:1] |
Generators of the group modulo torsion |
j |
-310894120566784/954885294459 |
j-invariant |
L |
5.8242361316244 |
L(r)(E,1)/r! |
Ω |
0.17981920184668 |
Real period |
R |
2.6991167015774 |
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 |
1311b1 83904bg1 62928z1 |
Quadratic twists by: -4 8 -3 |