Atkin-Lehner |
2+ 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
124630f |
Isogeny class |
Conductor |
124630 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
375936 |
Modular degree for the optimal curve |
Δ |
-45482667370580 = -1 · 22 · 5 · 118 · 1032 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10288,515458] |
[a1,a2,a3,a4,a6] |
Generators |
[857:24497:1] |
Generators of the group modulo torsion |
j |
-561712921/212180 |
j-invariant |
L |
6.659036796801 |
L(r)(E,1)/r! |
Ω |
0.60073264814855 |
Real period |
R |
0.92373825023988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000140634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124630z1 |
Quadratic twists by: -11 |