Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275do |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-14741052046875 = -1 · 36 · 56 · 76 · 11 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-86219175,-308144136344] |
[a1,a2,a3,a4,a6] |
Generators |
[279132925748871430380101502563127500967394:16516523141516281396769635174461365094281667:22454500358059706587704775180413820424] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
3.229183425872 |
L(r)(E,1)/r! |
Ω |
0.024772429052667 |
Real period |
R |
65.176963853779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475j3 4851l3 2475h3 |
Quadratic twists by: -3 5 -7 |