Atkin-Lehner |
3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275g |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
404628229564453125 = 33 · 59 · 78 · 113 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 11- 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-205800,-18832844] |
[a1,a2,a3,a4,a6] |
j |
396361728/166375 |
j-invariant |
L |
2.7922533787081 |
L(r)(E,1)/r! |
Ω |
0.23268769717363 |
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 |
121275a2 24255o1 121275y1 |
Quadratic twists by: -3 5 -7 |