Atkin-Lehner |
3- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
114975bt |
Isogeny class |
Conductor |
114975 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6912000 |
Modular degree for the optimal curve |
Δ |
-2.5066254704387E+22 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5025258,6261583041] |
[a1,a2,a3,a4,a6] |
Generators |
[-53484:2487117:64] |
Generators of the group modulo torsion |
j |
9856918984708531/17604831836277 |
j-invariant |
L |
10.186315858688 |
L(r)(E,1)/r! |
Ω |
0.081955095491271 |
Real period |
R |
3.107285701987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38325r1 114975bg1 |
Quadratic twists by: -3 5 |