Atkin-Lehner |
3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6195h |
Isogeny class |
Conductor |
6195 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-2667354046875 = -1 · 310 · 56 · 72 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -2 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4115,128100] |
[a1,a2,a3,a4,a6] |
Generators |
[25:190:1] |
Generators of the group modulo torsion |
j |
-7706192030051761/2667354046875 |
j-invariant |
L |
3.1136249000355 |
L(r)(E,1)/r! |
Ω |
0.76300339081489 |
Real period |
R |
0.13602494814211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120cd2 18585f2 30975e2 43365f2 |
Quadratic twists by: -4 -3 5 -7 |