Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
122400bj |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
12393000000 = 26 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5025,-137000] |
[a1,a2,a3,a4,a6] |
Generators |
[930:7375:8] |
Generators of the group modulo torsion |
j |
19248832/17 |
j-invariant |
L |
5.4826673156099 |
L(r)(E,1)/r! |
Ω |
0.56707247071352 |
Real period |
R |
4.8341857452578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400be1 13600r1 4896n1 |
Quadratic twists by: -4 -3 5 |