Atkin-Lehner |
2+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
4970c |
Isogeny class |
Conductor |
4970 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
100215080 = 23 · 5 · 7 · 713 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -3 -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-134,336] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:33:1] |
Generators of the group modulo torsion |
j |
263251475929/100215080 |
j-invariant |
L |
1.5715708764673 |
L(r)(E,1)/r! |
Ω |
1.725379574951 |
Real period |
R |
2.7325654585519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
39760m1 44730ch1 24850t1 34790k1 |
Quadratic twists by: -4 -3 5 -7 |