Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
4270f |
Isogeny class |
Conductor |
4270 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
11193548800 = 220 · 52 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -5 6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-706,-5180] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:46:1] |
Generators of the group modulo torsion |
j |
38920307374369/11193548800 |
j-invariant |
L |
5.6131946975214 |
L(r)(E,1)/r! |
Ω |
0.94649645289968 |
Real period |
R |
0.14826243353382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34160v1 38430t1 21350j1 29890u1 |
Quadratic twists by: -4 -3 5 -7 |