Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
34790m |
Isogeny class |
Conductor |
34790 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
233886212000 = 25 · 53 · 77 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 -3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1798,-17419] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:107:1] |
Generators of the group modulo torsion |
j |
5461074081/1988000 |
j-invariant |
L |
6.7598770273711 |
L(r)(E,1)/r! |
Ω |
0.75550965625823 |
Real period |
R |
0.44737198071367 |
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 |
4970j1 |
Quadratic twists by: -7 |