Atkin-Lehner |
2+ 3- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
104904h |
Isogeny class |
Conductor |
104904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
208896 |
Modular degree for the optimal curve |
Δ |
-6908294095344 = -1 · 24 · 38 · 313 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 6 0 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-126457] |
[a1,a2,a3,a4,a6] |
Generators |
[67:423:1] |
Generators of the group modulo torsion |
j |
3114752/592274871 |
j-invariant |
L |
10.415957549388 |
L(r)(E,1)/r! |
Ω |
0.34376260601587 |
Real period |
R |
1.2624940113248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34968h1 |
Quadratic twists by: -3 |