Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10120a |
Isogeny class |
Conductor |
10120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-1113200 = -1 · 24 · 52 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ -3 5+ -4 11- -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17,43] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:5:1] [3:11:1] |
Generators of the group modulo torsion |
j |
33958656/69575 |
j-invariant |
L |
3.515265785031 |
L(r)(E,1)/r! |
Ω |
1.9037091267053 |
Real period |
R |
0.23081689159599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999964 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20240d1 80960v1 91080by1 50600l1 |
Quadratic twists by: -4 8 -3 5 |