Atkin-Lehner |
2- 3- 7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37758t |
Isogeny class |
Conductor |
37758 |
Conductor |
∏ cp |
2800 |
Product of Tamagawa factors cp |
deg |
3673600 |
Modular degree for the optimal curve |
Δ |
-1.8053045720293E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4467008,-7416213504] |
[a1,a2,a3,a4,a6] |
Generators |
[4480:-252224:1] |
Generators of the group modulo torsion |
j |
-9857661682263961171866625/18053045720293045174272 |
j-invariant |
L |
11.023136636673 |
L(r)(E,1)/r! |
Ω |
0.048948019101873 |
Real period |
R |
0.32171553295381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113274x1 |
Quadratic twists by: -3 |