Atkin-Lehner |
2- 3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562t |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
123942127762089252 = 22 · 39 · 72 · 113 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-125120,-1780001] |
[a1,a2,a3,a4,a6] |
Generators |
[-42355:180523:125] |
Generators of the group modulo torsion |
j |
11005489726162875/6296912450444 |
j-invariant |
L |
8.1454462034662 |
L(r)(E,1)/r! |
Ω |
0.27512436575676 |
Real period |
R |
7.4016037993048 |
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 |
23562f1 |
Quadratic twists by: -3 |