Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275gc |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
40453574311198125 = 310 · 54 · 77 · 113 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11+ -3 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-135975,-16697669] |
[a1,a2,a3,a4,a6] |
j |
5186867200/754677 |
j-invariant |
L |
2.0082745016975 |
L(r)(E,1)/r! |
Ω |
0.25103446933079 |
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 |
40425br1 121275dn1 17325bs1 |
Quadratic twists by: -3 5 -7 |