Atkin-Lehner |
2- 3+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712r |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-9418319069184 = -1 · 220 · 38 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -2 -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1024,-147456] |
[a1,a2,a3,a4,a6] |
Generators |
[50:162:1] [58:322:1] |
Generators of the group modulo torsion |
j |
21156119/1679616 |
j-invariant |
L |
7.3819119014396 |
L(r)(E,1)/r! |
Ω |
0.34664470544053 |
Real period |
R |
5.3238314227468 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8214j1 65712q1 |
Quadratic twists by: -4 37 |