Atkin-Lehner |
2+ 3- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67158m |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
243262272102909696 = 28 · 37 · 76 · 133 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80987571,-280507403403] |
[a1,a2,a3,a4,a6] |
Generators |
[-1782102:881691:343] |
Generators of the group modulo torsion |
j |
80584461459025151375298097/333693103021824 |
j-invariant |
L |
4.7229526620497 |
L(r)(E,1)/r! |
Ω |
0.050326295244461 |
Real period |
R |
3.9102757969125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000477 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22386v2 |
Quadratic twists by: -3 |