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 |
-215823743018296875 = -1 · 36 · 56 · 76 · 115 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7- 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-113925,-26807594] |
[a1,a2,a3,a4,a6] |
Generators |
[79567306:5337866041:17576] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
3.229183425872 |
L(r)(E,1)/r! |
Ω |
0.12386214526334 |
Real period |
R |
13.035392621713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000114337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13475j2 4851l2 2475h2 |
Quadratic twists by: -3 5 -7 |