Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800dt |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-316639150080000 = -1 · 220 · 3 · 54 · 115 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 11+ 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15967,-355137] |
[a1,a2,a3,a4,a6] |
Generators |
[7095:107328:125] |
Generators of the group modulo torsion |
j |
2747555975/1932612 |
j-invariant |
L |
7.1597780620745 |
L(r)(E,1)/r! |
Ω |
0.30659569865331 |
Real period |
R |
5.8381266384047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800fs1 1650d1 52800n2 |
Quadratic twists by: -4 8 5 |