Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dh |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
17025915114140625 = 37 · 57 · 77 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2921855,1923086022] |
[a1,a2,a3,a4,a6] |
Generators |
[-1216:61245:1] |
Generators of the group modulo torsion |
j |
2058561081361/12705 |
j-invariant |
L |
4.1912824963007 |
L(r)(E,1)/r! |
Ω |
0.34740990550471 |
Real period |
R |
1.5080465512816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041231 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40425w1 24255bm1 17325y1 |
Quadratic twists by: -3 5 -7 |