Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bg |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4378092457921875 = 39 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-183980,30252772] |
[a1,a2,a3,a4,a6] |
Generators |
[94:3665:1] |
Generators of the group modulo torsion |
j |
19034163/121 |
j-invariant |
L |
4.310396732119 |
L(r)(E,1)/r! |
Ω |
0.4390040500177 |
Real period |
R |
2.4546452044203 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999715359 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121275s2 4851f2 2475d2 |
Quadratic twists by: -3 5 -7 |