Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328q |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-239499481088 = -1 · 212 · 77 · 71 |
Discriminant |
Eigenvalues |
2+ 1 0 7- -3 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29073,-1917889] |
[a1,a2,a3,a4,a6] |
Generators |
[10681:1103780:1] |
Generators of the group modulo torsion |
j |
-5639752000/497 |
j-invariant |
L |
6.2829264553449 |
L(r)(E,1)/r! |
Ω |
0.18280730909166 |
Real period |
R |
8.5922800732546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093477 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328h1 15904f1 |
Quadratic twists by: -4 -7 |