Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200db |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6048000 |
Modular degree for the optimal curve |
Δ |
-4.4910728183808E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44026875,116972606250] |
[a1,a2,a3,a4,a6] |
j |
-11987427957075/570425344 |
j-invariant |
L |
2.9729448479843 |
L(r)(E,1)/r! |
Ω |
0.092904526583564 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bk1 61200dn1 61200eh1 |
Quadratic twists by: -4 -3 5 |