Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275gi |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
-109452311448046875 = -1 · 39 · 58 · 76 · 112 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 11- 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-257250,52682656] |
[a1,a2,a3,a4,a6] |
Generators |
[400:3712:1] |
Generators of the group modulo torsion |
j |
-56197120/3267 |
j-invariant |
L |
5.5808538113131 |
L(r)(E,1)/r! |
Ω |
0.32934446656915 |
Real period |
R |
0.70605582191978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998896153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425bd1 121275dt1 2475k1 |
Quadratic twists by: -3 5 -7 |