Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400dd |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-84288384000000 = -1 · 213 · 33 · 56 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2475,444250] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:696:1] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
5.6471946246168 |
L(r)(E,1)/r! |
Ω |
0.50301903758485 |
Real period |
R |
0.46777509170579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999825622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13050bb1 104400cs2 4176u1 |
Quadratic twists by: -4 -3 5 |