Atkin-Lehner |
2- 3+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
72816f |
Isogeny class |
Conductor |
72816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-1379426304 = -1 · 213 · 3 · 372 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -6 5 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2096,-36288] |
[a1,a2,a3,a4,a6] |
Generators |
[64:296:1] |
Generators of the group modulo torsion |
j |
-248739515569/336774 |
j-invariant |
L |
3.2057119346559 |
L(r)(E,1)/r! |
Ω |
0.35275178832392 |
Real period |
R |
1.1359658696819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9102f1 |
Quadratic twists by: -4 |