Atkin-Lehner |
2+ 5- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10030h |
Isogeny class |
Conductor |
10030 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
37140480 |
Modular degree for the optimal curve |
Δ |
-4.5516643097329E+30 |
Discriminant |
Eigenvalues |
2+ 3 5- -2 -2 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4184385589,146255268405173] |
[a1,a2,a3,a4,a6] |
Generators |
[124483734:47555007353:5832] |
Generators of the group modulo torsion |
j |
-8102495627548987735206930860752041/4551664309732884706359875993600 |
j-invariant |
L |
5.562290052168 |
L(r)(E,1)/r! |
Ω |
0.022719194337111 |
Real period |
R |
13.601543673781 |
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 |
80240y1 90270w1 50150bc1 |
Quadratic twists by: -4 -3 5 |