Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51800n |
Isogeny class |
Conductor |
51800 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1351680 |
Modular degree for the optimal curve |
Δ |
-5.413920622334E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 7 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,48967,-354000563] |
[a1,a2,a3,a4,a6] |
Generators |
[2447:120050:1] |
Generators of the group modulo torsion |
j |
3246125782016/13534801555835 |
j-invariant |
L |
5.1763760024379 |
L(r)(E,1)/r! |
Ω |
0.092228318551658 |
Real period |
R |
0.31889584184723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103600a1 10360b1 |
Quadratic twists by: -4 5 |