Atkin-Lehner |
2+ 3+ 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8970d |
Isogeny class |
Conductor |
8970 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-209872625664000 = -1 · 216 · 3 · 53 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -3 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14673,139749] |
[a1,a2,a3,a4,a6] |
Generators |
[398:8121:1] |
Generators of the group modulo torsion |
j |
349328659013909639/209872625664000 |
j-invariant |
L |
2.5273834057641 |
L(r)(E,1)/r! |
Ω |
0.34461426375994 |
Real period |
R |
0.24446496383028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71760ce1 26910bh1 44850bv1 116610bm1 |
Quadratic twists by: -4 -3 5 13 |