Atkin-Lehner |
2- 5+ 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86950r |
Isogeny class |
Conductor |
86950 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
672000 |
Modular degree for the optimal curve |
Δ |
-3192695312500000 = -1 · 25 · 513 · 37 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -3 -4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-454855,-117992353] |
[a1,a2,a3,a4,a6] |
Generators |
[1829:70960:1] |
Generators of the group modulo torsion |
j |
-666072817124455161/204332500000 |
j-invariant |
L |
10.015064549028 |
L(r)(E,1)/r! |
Ω |
0.091916482902754 |
Real period |
R |
2.723957724681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17390a1 |
Quadratic twists by: 5 |