Atkin-Lehner |
2- 5- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103700m |
Isogeny class |
Conductor |
103700 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
498960 |
Modular degree for the optimal curve |
Δ |
24116731250000 = 24 · 58 · 17 · 613 |
Discriminant |
Eigenvalues |
2- -2 5- -5 1 -3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68833,-6969912] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:61:1] |
Generators of the group modulo torsion |
j |
5770854154240/3858677 |
j-invariant |
L |
1.9824941150433 |
L(r)(E,1)/r! |
Ω |
0.2947591430131 |
Real period |
R |
0.74731227479846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999187813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103700d1 |
Quadratic twists by: 5 |