Atkin-Lehner |
3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97461a |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
2984110135004817 = 39 · 79 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 0 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130398,17965079] |
[a1,a2,a3,a4,a6] |
Generators |
[142:31583:8] |
Generators of the group modulo torsion |
j |
105890949891/1288651 |
j-invariant |
L |
6.8447541503467 |
L(r)(E,1)/r! |
Ω |
0.45246586980054 |
Real period |
R |
3.781917383633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97461d1 13923d1 |
Quadratic twists by: -3 -7 |