Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200by |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-1.6998500214844E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-639075,279314125] |
[a1,a2,a3,a4,a6] |
Generators |
[860:19125:1] |
Generators of the group modulo torsion |
j |
-158384129218816/93270234375 |
j-invariant |
L |
5.8619593404421 |
L(r)(E,1)/r! |
Ω |
0.20324944821333 |
Real period |
R |
2.4034338887339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30600cm1 20400x1 12240k1 |
Quadratic twists by: -4 -3 5 |