Atkin-Lehner |
2+ 3+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370j |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
408576 |
Modular degree for the optimal curve |
Δ |
-172834936523437500 = -1 · 22 · 38 · 514 · 13 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,95403,-16435719] |
[a1,a2,a3,a4,a6] |
j |
96029063586560318759/172834936523437500 |
j-invariant |
L |
2.3588880482534 |
L(r)(E,1)/r! |
Ω |
0.16849200344662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110cc1 |
Quadratic twists by: -3 |