Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275bh |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-142119140625 = -1 · 33 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- 4 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,820,-15928] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1096:1] |
Generators of the group modulo torsion |
j |
4725/11 |
j-invariant |
L |
4.5806714449831 |
L(r)(E,1)/r! |
Ω |
0.53497205012328 |
Real period |
R |
4.281225085671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998313389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121275t1 121275cc1 121275j1 |
Quadratic twists by: -3 5 -7 |