Atkin-Lehner |
3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
110019t |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-65987305839 = -1 · 32 · 72 · 136 · 31 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,588,-11025] |
[a1,a2,a3,a4,a6] |
Generators |
[975:29970:1] |
Generators of the group modulo torsion |
j |
4657463/13671 |
j-invariant |
L |
7.169192781221 |
L(r)(E,1)/r! |
Ω |
0.56475591702407 |
Real period |
R |
6.3471604159847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999703792 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651c1 |
Quadratic twists by: 13 |