Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110bj |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3718080464962500000 = -1 · 25 · 34 · 58 · 710 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-172653,96779848] |
[a1,a2,a3,a4,a6] |
Generators |
[74:9150:1] |
Generators of the group modulo torsion |
j |
-4837870546133689/31603162500000 |
j-invariant |
L |
5.315968457838 |
L(r)(E,1)/r! |
Ω |
0.21441397751308 |
Real period |
R |
0.77478164546108 |
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 |
57330em3 95550gs3 2730d4 |
Quadratic twists by: -3 5 -7 |