Atkin-Lehner |
2+ 3- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
30090d |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
116352 |
Modular degree for the optimal curve |
Δ |
19566022500 = 22 · 33 · 54 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163034,25323896] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:7147:1] |
Generators of the group modulo torsion |
j |
479241517683532341529/19566022500 |
j-invariant |
L |
4.7167057238339 |
L(r)(E,1)/r! |
Ω |
0.90456975758886 |
Real period |
R |
5.214308442509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90270bb1 |
Quadratic twists by: -3 |