Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650el |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11125036426218750 = -1 · 2 · 314 · 56 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,55795,-153453] |
[a1,a2,a3,a4,a6] |
Generators |
[9822:345435:8] |
Generators of the group modulo torsion |
j |
1686433811327/976683582 |
j-invariant |
L |
9.6863089032025 |
L(r)(E,1)/r! |
Ω |
0.24038481570759 |
Real period |
R |
5.0368764282652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550o3 3906i4 |
Quadratic twists by: -3 5 |