Atkin-Lehner |
2- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62300k |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
195372800 = 28 · 52 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 -3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215,-1010] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:14:1] [46:294:1] |
Generators of the group modulo torsion |
j |
171735120/30527 |
j-invariant |
L |
10.222066833874 |
L(r)(E,1)/r! |
Ω |
1.26198441021 |
Real period |
R |
0.89999939347559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999917 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300q1 |
Quadratic twists by: 5 |