Atkin-Lehner |
11+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60401a |
Isogeny class |
Conductor |
60401 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-2889989752104555419 = -1 · 11 · 1710 · 194 |
Discriminant |
Eigenvalues |
-2 1 3 -2 11+ 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-21386674,38061216444] |
[a1,a2,a3,a4,a6] |
Generators |
[201720:11006647:125] |
Generators of the group modulo torsion |
j |
-44818771954214268928/119729942651 |
j-invariant |
L |
4.3845286195433 |
L(r)(E,1)/r! |
Ω |
0.22056946349965 |
Real period |
R |
4.9695553392732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3553c1 |
Quadratic twists by: 17 |