Atkin-Lehner |
2+ 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936f |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
5640340324608 = 28 · 39 · 113 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10935,-425034] |
[a1,a2,a3,a4,a6] |
j |
28697814000/1119371 |
j-invariant |
L |
2.8079448187489 |
L(r)(E,1)/r! |
Ω |
0.46799080309893 |
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 |
22968a1 45936d1 |
Quadratic twists by: -4 -3 |