Atkin-Lehner |
2+ 3+ 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270f |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-296362536960 = -1 · 212 · 3 · 5 · 76 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-417,-26571] |
[a1,a2,a3,a4,a6] |
Generators |
[610:14767:1] |
Generators of the group modulo torsion |
j |
-68417929/2519040 |
j-invariant |
L |
3.7026369791584 |
L(r)(E,1)/r! |
Ω |
0.42400531439357 |
Real period |
R |
4.3662624659766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1230c1 |
Quadratic twists by: -7 |