Atkin-Lehner |
2- 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28860b |
Isogeny class |
Conductor |
28860 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
95760 |
Modular degree for the optimal curve |
Δ |
-649350000 = -1 · 24 · 33 · 55 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 3 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100326,-12197799] |
[a1,a2,a3,a4,a6] |
Generators |
[10848:94265:27] |
Generators of the group modulo torsion |
j |
-6979889545014717184/40584375 |
j-invariant |
L |
3.2615240054896 |
L(r)(E,1)/r! |
Ω |
0.1341268804548 |
Real period |
R |
8.1055688823158 |
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 |
115440cv1 86580i1 |
Quadratic twists by: -4 -3 |