Atkin-Lehner |
2- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630s |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
2177280 |
Modular degree for the optimal curve |
Δ |
-64039595657776640 = -1 · 29 · 5 · 119 · 1032 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 11- -6 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,93147,5316061] |
[a1,a2,a3,a4,a6] |
Generators |
[10641:268852:27] |
Generators of the group modulo torsion |
j |
50452023393351/36148682240 |
j-invariant |
L |
16.168315349148 |
L(r)(E,1)/r! |
Ω |
0.22176409477587 |
Real period |
R |
1.0126072622349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11330c1 |
Quadratic twists by: -11 |