Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3050i |
Isogeny class |
Conductor |
3050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-3812500000 = -1 · 25 · 59 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 -1 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-880,-10253] |
[a1,a2,a3,a4,a6] |
Generators |
[49:225:1] |
Generators of the group modulo torsion |
j |
-4818245769/244000 |
j-invariant |
L |
4.735355129837 |
L(r)(E,1)/r! |
Ω |
0.43702697390593 |
Real period |
R |
0.54176920562989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24400t1 97600a1 27450s1 610a1 |
Quadratic twists by: -4 8 -3 5 |