Atkin-Lehner |
2- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
30940i |
Isogeny class |
Conductor |
30940 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-382913440000 = -1 · 28 · 54 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1580,37828] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:238:1] [16:-130:1] |
Generators of the group modulo torsion |
j |
-1705021456336/1495755625 |
j-invariant |
L |
6.4815971083917 |
L(r)(E,1)/r! |
Ω |
0.87005182109399 |
Real period |
R |
0.3104028284699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760bs2 |
Quadratic twists by: -4 |