Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275fq |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-37297747265625 = -1 · 311 · 58 · 72 · 11 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 11+ -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21492,-1242459] |
[a1,a2,a3,a4,a6] |
j |
-78683185/2673 |
j-invariant |
L |
3.1481299962665 |
L(r)(E,1)/r! |
Ω |
0.19675810185918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425de1 121275di1 121275ex1 |
Quadratic twists by: -3 5 -7 |