Atkin-Lehner |
5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18515i |
Isogeny class |
Conductor |
18515 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-5181256115 = -1 · 5 · 7 · 236 |
Discriminant |
Eigenvalues |
0 1 5- 7+ 3 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-705,-8234] |
[a1,a2,a3,a4,a6] |
Generators |
[48554:167292:1331] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
5.1690107934819 |
L(r)(E,1)/r! |
Ω |
0.45978351520125 |
Real period |
R |
5.621135406757 |
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 |
92575n1 129605a1 35a3 |
Quadratic twists by: 5 -7 -23 |