Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98553y |
Isogeny class |
Conductor |
98553 |
Conductor |
∏ cp |
462 |
Product of Tamagawa factors cp |
deg |
1740572064 |
Modular degree for the optimal curve |
Δ |
-2.839933393695E+35 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 5 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1912029040845,1017952646559313374] |
[a1,a2,a3,a4,a6] |
Generators |
[755685:67463613:1] |
Generators of the group modulo torsion |
j |
-45517495433750736788559001281841/16721658387224695525976901 |
j-invariant |
L |
6.8361923455196 |
L(r)(E,1)/r! |
Ω |
0.0095741874954571 |
Real period |
R |
1.5455048445812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999808559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98553n1 |
Quadratic twists by: -19 |