Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275ew |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-397105891875 = -1 · 37 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40520550,99279849681] |
[a1,a2,a3,a4,a6] |
Generators |
[3791:12226:1] |
Generators of the group modulo torsion |
j |
-6725893729610137600/363 |
j-invariant |
L |
4.8499934165307 |
L(r)(E,1)/r! |
Ω |
0.3567356601062 |
Real period |
R |
3.3988705929749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078616 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40425cw2 121275ck2 121275fj2 |
Quadratic twists by: -3 5 -7 |