Atkin-Lehner |
2+ 3- 5- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
104310bb |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-2013264492187500 = -1 · 22 · 36 · 510 · 19 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32094,3099600] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-1158:1] [-114:2352:1] |
Generators of the group modulo torsion |
j |
-5015050843619809/2761679687500 |
j-invariant |
L |
9.2195486477049 |
L(r)(E,1)/r! |
Ω |
0.43271386108815 |
Real period |
R |
1.0653170003665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972622 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11590n2 |
Quadratic twists by: -3 |