Atkin-Lehner |
2+ 3- 5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
62010x |
Isogeny class |
Conductor |
62010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
803649600 = 26 · 36 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249,-595] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:25:1] |
Generators of the group modulo torsion |
j |
2347334289/1102400 |
j-invariant |
L |
4.2054882998917 |
L(r)(E,1)/r! |
Ω |
1.257749827687 |
Real period |
R |
1.6718302032342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890k1 |
Quadratic twists by: -3 |