Atkin-Lehner |
3+ 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
20145b |
Isogeny class |
Conductor |
20145 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1312 |
Modular degree for the optimal curve |
Δ |
-60435 = -1 · 32 · 5 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1,12] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] [0:3:1] |
Generators of the group modulo torsion |
j |
-262144/60435 |
j-invariant |
L |
4.8661376563558 |
L(r)(E,1)/r! |
Ω |
2.8600910003373 |
Real period |
R |
0.85069629878602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60435f1 100725l1 |
Quadratic twists by: -3 5 |