Atkin-Lehner |
5+ 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
45425c |
Isogeny class |
Conductor |
45425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14560 |
Modular degree for the optimal curve |
Δ |
652984375 = 56 · 232 · 79 |
Discriminant |
Eigenvalues |
-1 -1 5+ -3 0 1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-588,-5594] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:13:1] [-14:18:1] |
Generators of the group modulo torsion |
j |
1439069689/41791 |
j-invariant |
L |
4.5948496879577 |
L(r)(E,1)/r! |
Ω |
0.97123071071847 |
Real period |
R |
2.3654779638085 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1817a1 |
Quadratic twists by: 5 |