Atkin-Lehner |
2- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
29302i |
Isogeny class |
Conductor |
29302 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
102816 |
Modular degree for the optimal curve |
Δ |
-106046707859456 = -1 · 217 · 76 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 1 1 7- -6 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,195,495473] |
[a1,a2,a3,a4,a6] |
Generators |
[34:-753:1] |
Generators of the group modulo torsion |
j |
6967871/901382144 |
j-invariant |
L |
9.7907920440218 |
L(r)(E,1)/r! |
Ω |
0.47137815014801 |
Real period |
R |
0.61089906647683 |
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 |
598d1 |
Quadratic twists by: -7 |