Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410u |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-47939973120 = -1 · 212 · 36 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7486,248900] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:530:1] |
Generators of the group modulo torsion |
j |
-46395601158168289/47939973120 |
j-invariant |
L |
6.3069337512544 |
L(r)(E,1)/r! |
Ω |
1.1258760911154 |
Real period |
R |
1.4004502362702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
59280be1 22230v1 37050h1 96330bo1 |
Quadratic twists by: -4 -3 5 13 |