Atkin-Lehner |
3- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107457p |
Isogeny class |
Conductor |
107457 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-3197446757001 = -1 · 37 · 76 · 172 · 43 |
Discriminant |
Eigenvalues |
1 3- -3 7- 5 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2865,62815] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:159:1] |
Generators of the group modulo torsion |
j |
22117051943/27177849 |
j-invariant |
L |
8.7991148254201 |
L(r)(E,1)/r! |
Ω |
0.53398514847075 |
Real period |
R |
1.1770143914492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999561742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2193a1 |
Quadratic twists by: -7 |