Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400fc |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1271808000 = 214 · 33 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4113,-102897] |
[a1,a2,a3,a4,a6] |
j |
3758161808/621 |
j-invariant |
L |
3.576898600354 |
L(r)(E,1)/r! |
Ω |
0.59614977539047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400gu1 13800s1 110400bs1 |
Quadratic twists by: -4 8 5 |