Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616t |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-6031355904 = -1 · 212 · 34 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -1 -4 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51,-3717] |
[a1,a2,a3,a4,a6] |
Generators |
[21:84:1] |
Generators of the group modulo torsion |
j |
3511808/1472499 |
j-invariant |
L |
8.1382152720871 |
L(r)(E,1)/r! |
Ω |
0.62983863513871 |
Real period |
R |
1.6151389455283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616q1 71232cf1 106848o1 |
Quadratic twists by: -4 8 -3 |