Atkin-Lehner |
2+ 3+ 5- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350n |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-923595274800000000 = -1 · 210 · 35 · 58 · 115 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-164450,52816500] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:7766:1] |
Generators of the group modulo torsion |
j |
-1259126711484745/2364403903488 |
j-invariant |
L |
4.4517849372965 |
L(r)(E,1)/r! |
Ω |
0.24941015595825 |
Real period |
R |
1.784925285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97350cr1 |
Quadratic twists by: 5 |