Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954bj |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
833280 |
Modular degree for the optimal curve |
Δ |
-313545589416864 = -1 · 25 · 33 · 79 · 17 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 3 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-345451,-78298375] |
[a1,a2,a3,a4,a6] |
Generators |
[679:534:1] |
Generators of the group modulo torsion |
j |
-112979797809607/7769952 |
j-invariant |
L |
8.9144402919747 |
L(r)(E,1)/r! |
Ω |
0.098462565397821 |
Real period |
R |
4.526817007692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999761038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954cn1 |
Quadratic twists by: -7 |