Atkin-Lehner |
2- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98252a |
Isogeny class |
Conductor |
98252 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
211831312 = 24 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11+ 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1778,29449] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-11:1] [-4:191:1] |
Generators of the group modulo torsion |
j |
29205536000/9947 |
j-invariant |
L |
9.3242217606384 |
L(r)(E,1)/r! |
Ω |
1.7425624113865 |
Real period |
R |
0.89181136347179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98252i1 |
Quadratic twists by: -11 |