Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
49440n |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-21358080 = -1 · 29 · 34 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 1 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3856,-93460] |
[a1,a2,a3,a4,a6] |
Generators |
[970:8895:8] |
Generators of the group modulo torsion |
j |
-12387322664072/41715 |
j-invariant |
L |
6.8112526602358 |
L(r)(E,1)/r! |
Ω |
0.30291852236765 |
Real period |
R |
5.6213570294259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49440i1 98880bi1 |
Quadratic twists by: -4 8 |