Atkin-Lehner |
2+ 7- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
47138d |
Isogeny class |
Conductor |
47138 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1607760 |
Modular degree for the optimal curve |
Δ |
-2037146958102910472 = -1 · 23 · 710 · 13 · 375 |
Discriminant |
Eigenvalues |
2+ 0 0 7- -4 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14315212,20850751032] |
[a1,a2,a3,a4,a6] |
Generators |
[130479042:805710663:54872] |
Generators of the group modulo torsion |
j |
-1148515025417699625/7211771528 |
j-invariant |
L |
3.2249214537647 |
L(r)(E,1)/r! |
Ω |
0.23329780450826 |
Real period |
R |
13.823196752995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47138a1 |
Quadratic twists by: -7 |