Atkin-Lehner |
2+ 3- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
119574s |
Isogeny class |
Conductor |
119574 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
1709662054051224 = 23 · 36 · 73 · 133 · 733 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -3 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30591,-524907] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:1275:1] |
Generators of the group modulo torsion |
j |
4342953621582577/2345215437656 |
j-invariant |
L |
2.7651404257998 |
L(r)(E,1)/r! |
Ω |
0.38457253608565 |
Real period |
R |
1.1983610248202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999820331 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13286m2 |
Quadratic twists by: -3 |