Atkin-Lehner |
2- 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63336o |
Isogeny class |
Conductor |
63336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
1694491344 = 24 · 32 · 74 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-299,126] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:42:1] [-5:39:1] |
Generators of the group modulo torsion |
j |
185382602752/105905709 |
j-invariant |
L |
10.60358386681 |
L(r)(E,1)/r! |
Ω |
1.2808138342867 |
Real period |
R |
2.0696965442926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126672p1 |
Quadratic twists by: -4 |