Atkin-Lehner |
2- 3+ 11+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86526o |
Isogeny class |
Conductor |
86526 |
Conductor |
∏ cp |
476 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-8803636522542563328 = -1 · 217 · 33 · 112 · 197 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,334324,-121914353] |
[a1,a2,a3,a4,a6] |
Generators |
[1129:40589:1] [1813:79349:1] |
Generators of the group modulo torsion |
j |
153060747013388638269/326060611946020864 |
j-invariant |
L |
13.055139975203 |
L(r)(E,1)/r! |
Ω |
0.12043508499216 |
Real period |
R |
0.22773068708482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86526c1 |
Quadratic twists by: -3 |