Atkin-Lehner |
3+ 5- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425g |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-3031709765625 = -1 · 35 · 58 · 19 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5- -2 -1 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1825,-89750] |
[a1,a2,a3,a4,a6] |
Generators |
[630:3785:8] |
Generators of the group modulo torsion |
j |
-1722360505/7761177 |
j-invariant |
L |
4.1738534769681 |
L(r)(E,1)/r! |
Ω |
0.33136832190887 |
Real period |
R |
2.0993021969802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58425m1 |
Quadratic twists by: 5 |