Atkin-Lehner |
7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100079b |
Isogeny class |
Conductor |
100079 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-34896499773107 = -1 · 7 · 172 · 297 |
Discriminant |
Eigenvalues |
0 -1 4 7+ 4 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17941,-961676] |
[a1,a2,a3,a4,a6] |
Generators |
[6468100:123396743:15625] |
Generators of the group modulo torsion |
j |
-1073741824/58667 |
j-invariant |
L |
6.457242351795 |
L(r)(E,1)/r! |
Ω |
0.20560277539248 |
Real period |
R |
7.8515991927454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3451b1 |
Quadratic twists by: 29 |