Atkin-Lehner |
2+ 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478i |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-71963982444942 = -1 · 2 · 33 · 78 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1690,-406566] |
[a1,a2,a3,a4,a6] |
Generators |
[643:16020:1] |
Generators of the group modulo torsion |
j |
4533086375/611683758 |
j-invariant |
L |
4.3632357183028 |
L(r)(E,1)/r! |
Ω |
0.2908797426797 |
Real period |
R |
2.5000226576167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354k1 |
Quadratic twists by: -7 |