Atkin-Lehner |
3+ 7+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107457a |
Isogeny class |
Conductor |
107457 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
110208 |
Modular degree for the optimal curve |
Δ |
226411899 = 3 · 74 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 3+ -3 7+ 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8772,312570] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-72:1] |
Generators of the group modulo torsion |
j |
31090701088993/94299 |
j-invariant |
L |
2.3000264927094 |
L(r)(E,1)/r! |
Ω |
1.5399421958402 |
Real period |
R |
0.7467898847878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999247253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107457m1 |
Quadratic twists by: -7 |