Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
7950bi |
Isogeny class |
Conductor |
7950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-178875000 = -1 · 23 · 33 · 56 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -3 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1513,22031] |
[a1,a2,a3,a4,a6] |
Generators |
[25:12:1] |
Generators of the group modulo torsion |
j |
-24515367625/11448 |
j-invariant |
L |
4.5221683614275 |
L(r)(E,1)/r! |
Ω |
1.7759251914185 |
Real period |
R |
0.4243955379126 |
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 |
63600di1 23850u1 318b1 |
Quadratic twists by: -4 -3 5 |