Atkin-Lehner |
3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
75225n |
Isogeny class |
Conductor |
75225 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4939200 |
Modular degree for the optimal curve |
Δ |
-1.3960695408366E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 -4 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5257487,3284806892] |
[a1,a2,a3,a4,a6] |
Generators |
[-2906:292891:8] |
Generators of the group modulo torsion |
j |
1645728863652734375/1429575209816643 |
j-invariant |
L |
5.3780198644518 |
L(r)(E,1)/r! |
Ω |
0.081496000876595 |
Real period |
R |
6.5991211919121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75225k1 |
Quadratic twists by: 5 |