Atkin-Lehner |
2- 3+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
34968h |
Isogeny class |
Conductor |
34968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-9476397936 = -1 · 24 · 32 · 313 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -6 0 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8,4681] |
[a1,a2,a3,a4,a6] |
Generators |
[16:93:1] [25:141:1] |
Generators of the group modulo torsion |
j |
3114752/592274871 |
j-invariant |
L |
6.2898898954996 |
L(r)(E,1)/r! |
Ω |
1.0255137241342 |
Real period |
R |
0.25555849666183 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69936e1 104904h1 |
Quadratic twists by: -4 -3 |