Atkin-Lehner |
2+ 3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13530l |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-90414225000000 = -1 · 26 · 36 · 58 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10127,236228] |
[a1,a2,a3,a4,a6] |
Generators |
[19:650:1] |
Generators of the group modulo torsion |
j |
114875598620423159/90414225000000 |
j-invariant |
L |
4.6231789332474 |
L(r)(E,1)/r! |
Ω |
0.38793464336031 |
Real period |
R |
0.24827952188464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108240z2 40590bd2 67650ca2 |
Quadratic twists by: -4 -3 5 |