Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bw |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-7789248050595102720 = -1 · 221 · 33 · 5 · 317 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-684893,-256004379] |
[a1,a2,a3,a4,a6] |
Generators |
[1031:11016:1] |
Generators of the group modulo torsion |
j |
-1482713947827/325058560 |
j-invariant |
L |
9.7341849498402 |
L(r)(E,1)/r! |
Ω |
0.082018327791892 |
Real period |
R |
0.7064467006476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003653 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490i2 2790q1 |
Quadratic twists by: -3 -31 |