Atkin-Lehner |
2- 3- 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
98700y |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1353600 |
Modular degree for the optimal curve |
Δ |
-1937109497033113200 = -1 · 24 · 310 · 52 · 75 · 474 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358818,106314453] |
[a1,a2,a3,a4,a6] |
Generators |
[477:6627:1] |
Generators of the group modulo torsion |
j |
-12772843608175578880/4842773742582783 |
j-invariant |
L |
7.9370114312679 |
L(r)(E,1)/r! |
Ω |
0.24708944175064 |
Real period |
R |
1.6061008871803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98700u1 |
Quadratic twists by: 5 |