Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600bc |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-6966000000000 = -1 · 210 · 34 · 59 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1208,-128412] |
[a1,a2,a3,a4,a6] |
Generators |
[64:246:1] |
Generators of the group modulo torsion |
j |
-97556/3483 |
j-invariant |
L |
8.0642170588525 |
L(r)(E,1)/r! |
Ω |
0.32574597405169 |
Real period |
R |
3.0945190812824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800ba1 51600s1 |
Quadratic twists by: -4 5 |