Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ho |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-70574429738877120 = -1 · 26 · 38 · 5 · 711 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,92085,-6936255] |
[a1,a2,a3,a4,a6] |
Generators |
[696:19845:1] |
Generators of the group modulo torsion |
j |
1349291235048644096/1102725464669955 |
j-invariant |
L |
5.8508519925579 |
L(r)(E,1)/r! |
Ω |
0.1918938251141 |
Real period |
R |
1.3859112919322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999953594 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240kc1 57120cd1 |
Quadratic twists by: -4 8 |