Atkin-Lehner |
2+ 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10120d |
Isogeny class |
Conductor |
10120 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-724989675520 = -1 · 211 · 5 · 11 · 235 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 11+ -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2173,12574] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:529:8] |
Generators of the group modulo torsion |
j |
554080592718/353998865 |
j-invariant |
L |
4.2184493711051 |
L(r)(E,1)/r! |
Ω |
0.56168648590871 |
Real period |
R |
1.5020654678136 |
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 |
20240f1 80960j1 91080bo1 50600g1 |
Quadratic twists by: -4 8 -3 5 |