Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275ej |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-375303360175734375 = -1 · 314 · 56 · 73 · 114 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,151758,-18772209] |
[a1,a2,a3,a4,a6] |
j |
98931640625/96059601 |
j-invariant |
L |
1.3145183100008 |
L(r)(E,1)/r! |
Ω |
0.16431465625346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425cj1 4851q1 121275eh1 |
Quadratic twists by: -3 5 -7 |