Atkin-Lehner |
2- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
24304t |
Isogeny class |
Conductor |
24304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-836561567744 = -1 · 215 · 77 · 31 |
Discriminant |
Eigenvalues |
2- -3 3 7- -4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1853131,-970973318] |
[a1,a2,a3,a4,a6] |
Generators |
[16674:519743:8] |
Generators of the group modulo torsion |
j |
-1460474194254993/1736 |
j-invariant |
L |
3.5796506462272 |
L(r)(E,1)/r! |
Ω |
0.064698323732195 |
Real period |
R |
6.9160421007281 |
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 |
3038m1 97216bw1 3472h1 |
Quadratic twists by: -4 8 -7 |