Atkin-Lehner |
2+ 3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
71232c |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7788382906468663296 = 217 · 34 · 712 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-889537,-293384255] |
[a1,a2,a3,a4,a6] |
Generators |
[-5498442719902320:35177792746003313:12969593012375] |
Generators of the group modulo torsion |
j |
593890427791981154/59420645953893 |
j-invariant |
L |
6.4915815682947 |
L(r)(E,1)/r! |
Ω |
0.15645827346286 |
Real period |
R |
20.745408424272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71232df3 8904i3 |
Quadratic twists by: -4 8 |