Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275er |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40255488 |
Modular degree for the optimal curve |
Δ |
-9.6774531022656E+25 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,91437675,332800798531] |
[a1,a2,a3,a4,a6] |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
5.7562148718601 |
L(r)(E,1)/r! |
Ω |
0.039973726115684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425s1 24255bk1 17325bh1 |
Quadratic twists by: -3 5 -7 |