Atkin-Lehner |
5- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
45815bb |
Isogeny class |
Conductor |
45815 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7943040 |
Modular degree for the optimal curve |
Δ |
-2496706038719921875 = -1 · 58 · 710 · 113 · 17 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 11- -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-275443520,-1759622942619] |
[a1,a2,a3,a4,a6] |
Generators |
[5595015195220:-466446801507451:247673152] |
Generators of the group modulo torsion |
j |
-8181651804527078477824/8838671875 |
j-invariant |
L |
8.2927196043346 |
L(r)(E,1)/r! |
Ω |
0.018529402655859 |
Real period |
R |
18.647659070903 |
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 |
45815e1 |
Quadratic twists by: -7 |