Atkin-Lehner |
3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
60705m |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
47130451425 = 39 · 52 · 19 · 712 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -6 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2192,38634] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:201:1] |
Generators of the group modulo torsion |
j |
1597099875769/64650825 |
j-invariant |
L |
3.1682108888305 |
L(r)(E,1)/r! |
Ω |
1.1226156283546 |
Real period |
R |
1.4110844392418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235d1 |
Quadratic twists by: -3 |