Atkin-Lehner |
2- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
119600cd |
Isogeny class |
Conductor |
119600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18017280 |
Modular degree for the optimal curve |
Δ |
-9.9180880068608E+21 |
Discriminant |
Eigenvalues |
2- -3 5- -4 3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30602875,65337486250] |
[a1,a2,a3,a4,a6] |
Generators |
[3231:13754:1] |
Generators of the group modulo torsion |
j |
-1981027090746418545/6198805004288 |
j-invariant |
L |
2.3627558057115 |
L(r)(E,1)/r! |
Ω |
0.12948439321912 |
Real period |
R |
2.280927192497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14950bg1 119600bv1 |
Quadratic twists by: -4 5 |