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 |
Δ |
2.1631425152516E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2976980,1846793022] |
[a1,a2,a3,a4,a6] |
Generators |
[-1221:61110:1] |
Generators of the group modulo torsion |
j |
2177286259681/161417025 |
j-invariant |
L |
4.1912824963007 |
L(r)(E,1)/r! |
Ω |
0.17370495275236 |
Real period |
R |
3.0160931025633 |
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 |
40425w2 24255bm2 17325y2 |
Quadratic twists by: -3 5 -7 |