Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fo |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
601788708761625 = 312 · 53 · 77 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23382,713551] |
[a1,a2,a3,a4,a6] |
Generators |
[142:4339:8] [30:181:1] |
Generators of the group modulo torsion |
j |
131872229/56133 |
j-invariant |
L |
14.116476535338 |
L(r)(E,1)/r! |
Ω |
0.46517870498677 |
Real period |
R |
7.5865878976796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425bo1 121275fv1 17325bp1 |
Quadratic twists by: -3 5 -7 |