Atkin-Lehner |
3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705l |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
-368782875 = -1 · 37 · 53 · 19 · 71 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 -5 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,123,760] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [-2:22:1] |
Generators of the group modulo torsion |
j |
282300416/505875 |
j-invariant |
L |
4.7865557532479 |
L(r)(E,1)/r! |
Ω |
1.1650708916687 |
Real period |
R |
0.34236512898589 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20235g1 |
Quadratic twists by: -3 |