Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
39600ev |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
243150865031250000 = 24 · 312 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228000,-34540625] |
[a1,a2,a3,a4,a6] |
Generators |
[-175990:366399:1000] |
Generators of the group modulo torsion |
j |
57537462272/10673289 |
j-invariant |
L |
6.7441873741397 |
L(r)(E,1)/r! |
Ω |
0.2212813184674 |
Real period |
R |
7.6194721507128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9900v1 13200cn1 39600ew1 |
Quadratic twists by: -4 -3 5 |