Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bs |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
404628229564453125 = 33 · 59 · 78 · 113 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 11- 1 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5530875,5006460156] |
[a1,a2,a3,a4,a6] |
Generators |
[1325:2062:1] |
Generators of the group modulo torsion |
j |
61549867008/1331 |
j-invariant |
L |
3.6754240399029 |
L(r)(E,1)/r! |
Ω |
0.27653621919228 |
Real period |
R |
1.1075776597299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999404161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275bl1 121275bq1 121275ch1 |
Quadratic twists by: -3 5 -7 |