Atkin-Lehner |
2- 3+ 5- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710ba |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
3360 |
Product of Tamagawa factors cp |
Δ |
-4.9550167699344E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5652125,34257608435] |
[a1,a2,a3,a4,a6] |
Generators |
[-3417:118708:1] |
Generators of the group modulo torsion |
j |
-19969122943209934425906001/495501676993440000000000 |
j-invariant |
L |
7.3228640690692 |
L(r)(E,1)/r! |
Ω |
0.078017121384903 |
Real period |
R |
0.11174079696315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130o2 |
Quadratic twists by: -3 |