Atkin-Lehner |
2- 3- 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760bv |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-93000960 = -1 · 28 · 35 · 5 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 3 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,-936] |
[a1,a2,a3,a4,a6] |
Generators |
[15:18:1] |
Generators of the group modulo torsion |
j |
-1650587344/363285 |
j-invariant |
L |
6.0365676507819 |
L(r)(E,1)/r! |
Ω |
0.66724595697978 |
Real period |
R |
1.8093980448567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17940b1 |
Quadratic twists by: -4 |