Atkin-Lehner |
2+ 3+ 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
46920d |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-4370598000 = -1 · 24 · 35 · 53 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 -2 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,84,-3195] |
[a1,a2,a3,a4,a6] |
Generators |
[14:23:1] |
Generators of the group modulo torsion |
j |
4048192256/273162375 |
j-invariant |
L |
3.411173052651 |
L(r)(E,1)/r! |
Ω |
0.65849807898346 |
Real period |
R |
1.2950580880612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93840s1 |
Quadratic twists by: -4 |