Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275es |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
828838828125 = 39 · 57 · 72 · 11 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- -5 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3675,-73719] |
[a1,a2,a3,a4,a6] |
j |
9834496/1485 |
j-invariant |
L |
4.9550884696864 |
L(r)(E,1)/r! |
Ω |
0.61938601550684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425cm1 24255ca1 121275cu1 |
Quadratic twists by: -3 5 -7 |