Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
910g |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-72800 = -1 · 25 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -3 5+ 7+ 3 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33,81] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-8:1] |
Generators of the group modulo torsion |
j |
-3862503009/72800 |
j-invariant |
L |
2.176707344269 |
L(r)(E,1)/r! |
Ω |
3.4576823604528 |
Real period |
R |
0.062952785055247 |
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 |
7280s1 29120q1 8190s1 4550g1 |
Quadratic twists by: -4 8 -3 5 |