Atkin-Lehner |
2+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
113344bu |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
15605535604736 = 219 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172257,27574625] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:5460:1] |
Generators of the group modulo torsion |
j |
2156338561552057/59530394 |
j-invariant |
L |
13.644399567786 |
L(r)(E,1)/r! |
Ω |
0.64916372609501 |
Real period |
R |
3.5030709575454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113344cy2 3542c2 |
Quadratic twists by: -4 8 |