Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121380bc |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-5383540805091750000 = -1 · 24 · 32 · 56 · 73 · 178 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-823746,-308934171] |
[a1,a2,a3,a4,a6] |
Generators |
[4778886:163304625:2744] |
Generators of the group modulo torsion |
j |
-553850869504/48234375 |
j-invariant |
L |
9.5026815570151 |
L(r)(E,1)/r! |
Ω |
0.078843791796419 |
Real period |
R |
10.043785486201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999751149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121380l2 |
Quadratic twists by: 17 |