Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
95220s |
Isogeny class |
Conductor |
95220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-14993722080000 = -1 · 28 · 311 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -6 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2208,190532] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:162:1] [-44:450:1] |
Generators of the group modulo torsion |
j |
-12058624/151875 |
j-invariant |
L |
9.0620604020066 |
L(r)(E,1)/r! |
Ω |
0.59474925521346 |
Real period |
R |
0.63486561227176 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000645 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31740c1 95220bd1 |
Quadratic twists by: -3 -23 |