Atkin-Lehner |
2+ 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450a |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
15514200 = 23 · 33 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 1 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-102,-324] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] |
Generators of the group modulo torsion |
j |
174828915/22984 |
j-invariant |
L |
4.4134468697233 |
L(r)(E,1)/r! |
Ω |
1.5146171756381 |
Real period |
R |
0.72847563778329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450by1 99450cg1 |
Quadratic twists by: -3 5 |