Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10304bi |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-610491392 = -1 · 210 · 72 · 233 |
Discriminant |
Eigenvalues |
2- -3 4 7- 2 -5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,212,40] |
[a1,a2,a3,a4,a6] |
Generators |
[5:35:1] |
Generators of the group modulo torsion |
j |
1029037824/596183 |
j-invariant |
L |
3.6727133367265 |
L(r)(E,1)/r! |
Ω |
0.97602940721335 |
Real period |
R |
1.8814562909597 |
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 |
10304g1 2576g1 92736ft1 72128bt1 |
Quadratic twists by: -4 8 -3 -7 |