Atkin-Lehner |
3- 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
60705m |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8513352669375 = -1 · 312 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -6 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1003,139596] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-441:1] |
Generators of the group modulo torsion |
j |
153216258551/11678124375 |
j-invariant |
L |
3.1682108888305 |
L(r)(E,1)/r! |
Ω |
0.5613078141773 |
Real period |
R |
0.70554221962088 |
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 |
20235d2 |
Quadratic twists by: -3 |