Atkin-Lehner |
2+ 3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830b |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-711531000 = -1 · 23 · 33 · 53 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,60,1256] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:31:1] |
Generators of the group modulo torsion |
j |
876467493/26353000 |
j-invariant |
L |
3.954042365893 |
L(r)(E,1)/r! |
Ω |
1.2098906790233 |
Real period |
R |
0.81702473188687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998364391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830bs1 |
Quadratic twists by: -3 |