Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562u |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
13218282 = 2 · 33 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-236,-1323] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:51:8] |
Generators of the group modulo torsion |
j |
53625283011/489566 |
j-invariant |
L |
7.6711260883681 |
L(r)(E,1)/r! |
Ω |
1.2191431269336 |
Real period |
R |
3.1461138232649 |
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 |
23562g2 |
Quadratic twists by: -3 |