Atkin-Lehner |
2+ 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33488h |
Isogeny class |
Conductor |
33488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-407448496 = -1 · 24 · 7 · 13 · 234 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-146,-1185] |
[a1,a2,a3,a4,a6] |
Generators |
[35711499:1366470480:24389] |
Generators of the group modulo torsion |
j |
-21511084032/25465531 |
j-invariant |
L |
3.577735077353 |
L(r)(E,1)/r! |
Ω |
0.65685839214284 |
Real period |
R |
10.893474514899 |
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 |
16744d1 |
Quadratic twists by: -4 |