Atkin-Lehner |
3- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275bc |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-1445855988583125 = -1 · 312 · 54 · 76 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 0 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-544280,154701272] |
[a1,a2,a3,a4,a6] |
Generators |
[430:-44:1] |
Generators of the group modulo torsion |
j |
-39136550726372425/3173346477 |
j-invariant |
L |
2.944172961322 |
L(r)(E,1)/r! |
Ω |
0.45676288223499 |
Real period |
R |
1.6114340043541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19425x1 58275y1 |
Quadratic twists by: -3 5 |