Atkin-Lehner |
3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
86247c |
Isogeny class |
Conductor |
86247 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
12678309 = 33 · 73 · 372 |
Discriminant |
Eigenvalues |
-2 3+ -2 7- 2 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-111,416] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] [-11:17:1] |
Generators of the group modulo torsion |
j |
4091904/343 |
j-invariant |
L |
5.2596309172122 |
L(r)(E,1)/r! |
Ω |
2.1935758341355 |
Real period |
R |
0.39962381934652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86247b1 86247a1 |
Quadratic twists by: -3 37 |