Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200fu |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
138629849932800 = 210 · 37 · 52 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -4 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40953,-3125583] |
[a1,a2,a3,a4,a6] |
Generators |
[-112:209:1] |
Generators of the group modulo torsion |
j |
296723207944960/5415228513 |
j-invariant |
L |
3.6244118956352 |
L(r)(E,1)/r! |
Ω |
0.33597610182996 |
Real period |
R |
2.1575414862622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200cq1 22800ct1 91200jb1 |
Quadratic twists by: -4 8 5 |