Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380a |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-5273672625396000000 = -1 · 28 · 33 · 56 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,86604,110022696] |
[a1,a2,a3,a4,a6] |
Generators |
[-130:9826:1] [110:10994:1] |
Generators of the group modulo torsion |
j |
11625163184/853453125 |
j-invariant |
L |
9.2161483798545 |
L(r)(E,1)/r! |
Ω |
0.18463650970816 |
Real period |
R |
8.3191820071109 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140o2 |
Quadratic twists by: 17 |