Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670br |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2979996884176121670 = -1 · 2 · 3 · 5 · 718 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,358140,9778635] |
[a1,a2,a3,a4,a6] |
Generators |
[-34440378:68132449975:22425768] |
Generators of the group modulo torsion |
j |
43181118162906191/25329555577830 |
j-invariant |
L |
10.885858432107 |
L(r)(E,1)/r! |
Ω |
0.15376100776692 |
Real period |
R |
17.699315627347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.00000000056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810t4 |
Quadratic twists by: -7 |