Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872l |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
3975595008 = 210 · 3 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,804] |
[a1,a2,a3,a4,a6] |
Generators |
[38:204:1] |
Generators of the group modulo torsion |
j |
62500/33 |
j-invariant |
L |
6.7990531018442 |
L(r)(E,1)/r! |
Ω |
1.2210800228181 |
Real period |
R |
2.784032567396 |
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 |
12936p1 103488fx1 77616cb1 528a1 |
Quadratic twists by: -4 8 -3 -7 |