Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416h |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-80718833664 = -1 · 211 · 33 · 72 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -3 -3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1064,-2572] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1302:1] |
Generators of the group modulo torsion |
j |
64984593742/39413493 |
j-invariant |
L |
4.6655491799705 |
L(r)(E,1)/r! |
Ω |
0.62874025910379 |
Real period |
R |
0.20612420861556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5208c1 41664cj1 31248k1 72912e1 |
Quadratic twists by: -4 8 -3 -7 |