Atkin-Lehner |
2+ 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960j |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5374676916000000 = 28 · 35 · 56 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46620,-1587600] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:460:1] |
Generators of the group modulo torsion |
j |
43773358594150096/20994831703125 |
j-invariant |
L |
6.7618617394435 |
L(r)(E,1)/r! |
Ω |
0.34074016359054 |
Real period |
R |
3.3074379741124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480bg2 |
Quadratic twists by: -4 |