Atkin-Lehner |
5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
87025c |
Isogeny class |
Conductor |
87025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1392000 |
Modular degree for the optimal curve |
Δ |
-4860647431287109375 = -1 · 59 · 597 |
Discriminant |
Eigenvalues |
1 -2 5- 2 4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,389799,49802423] |
[a1,a2,a3,a4,a6] |
Generators |
[129531983192794976465:357628095133213337636789:50184814482165762125] |
Generators of the group modulo torsion |
j |
79507/59 |
j-invariant |
L |
5.7161204139939 |
L(r)(E,1)/r! |
Ω |
0.15535331868061 |
Real period |
R |
36.794324520985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843381 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87025d1 1475b1 |
Quadratic twists by: 5 -59 |