Atkin-Lehner |
2- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104720be |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
6862929920 = 220 · 5 · 7 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2267,41354] |
[a1,a2,a3,a4,a6] |
Generators |
[930:1736:27] |
Generators of the group modulo torsion |
j |
314570740401/1675520 |
j-invariant |
L |
7.2020663854108 |
L(r)(E,1)/r! |
Ω |
1.3371315258026 |
Real period |
R |
5.3862064195557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999685403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090n1 |
Quadratic twists by: -4 |