Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275et |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-38695261623046875 = -1 · 37 · 59 · 77 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11- -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3675,9464656] |
[a1,a2,a3,a4,a6] |
Generators |
[35:3062:1] [-161:2425:1] |
Generators of the group modulo torsion |
j |
-4096/28875 |
j-invariant |
L |
6.5247231645219 |
L(r)(E,1)/r! |
Ω |
0.29166559439908 |
Real period |
R |
0.34954002609568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425q1 24255by1 17325v1 |
Quadratic twists by: -3 5 -7 |