Atkin-Lehner |
2+ 3- 5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
62010r |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
19620351562500 = 22 · 36 · 510 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18879,980153] |
[a1,a2,a3,a4,a6] |
Generators |
[92:79:1] |
Generators of the group modulo torsion |
j |
1020812743382769/26914062500 |
j-invariant |
L |
3.9182557247746 |
L(r)(E,1)/r! |
Ω |
0.68325551193974 |
Real period |
R |
0.57346858624708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890j1 |
Quadratic twists by: -3 |