Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200k |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-164708600000000000 = -1 · 212 · 511 · 77 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -7 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42467,19247563] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-4900:1] [2253:107500:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
9.7966601919138 |
L(r)(E,1)/r! |
Ω |
0.24097522344369 |
Real period |
R |
1.2704444325117 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200by1 78400br1 7840r1 5600g1 |
Quadratic twists by: -4 8 5 -7 |