Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275el |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-13427189015625 = -1 · 313 · 56 · 72 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 0 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4495,-133878] |
[a1,a2,a3,a4,a6] |
j |
17999471/24057 |
j-invariant |
L |
1.5079319255517 |
L(r)(E,1)/r! |
Ω |
0.37698344316517 |
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 |
40425i1 4851p1 121275cs1 |
Quadratic twists by: -3 5 -7 |