Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47096i |
Isogeny class |
Conductor |
47096 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1851360 |
Modular degree for the optimal curve |
Δ |
-8.437236360584E+20 |
Discriminant |
Eigenvalues |
2- -1 -1 7+ 6 -3 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,154464,-1397376788] |
[a1,a2,a3,a4,a6] |
Generators |
[404238642378:-10183111347197:306182024] |
Generators of the group modulo torsion |
j |
397822/823543 |
j-invariant |
L |
3.5747301827766 |
L(r)(E,1)/r! |
Ω |
0.073554050200441 |
Real period |
R |
16.200015150016 |
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 |
94192m1 47096b1 |
Quadratic twists by: -4 29 |