Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98600l |
Isogeny class |
Conductor |
98600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
347520 |
Modular degree for the optimal curve |
Δ |
8926452044800 = 210 · 52 · 17 · 295 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 -3 5 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43928,3526208] |
[a1,a2,a3,a4,a6] |
Generators |
[-3192:71848:27] |
Generators of the group modulo torsion |
j |
366199650425860/348689533 |
j-invariant |
L |
9.8423101214557 |
L(r)(E,1)/r! |
Ω |
0.7276802155457 |
Real period |
R |
6.7627990197014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025155 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98600g1 |
Quadratic twists by: 5 |