Atkin-Lehner |
2- 5- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350by |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
334180000 = 25 · 54 · 72 · 11 · 31 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11+ -2 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,381] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-43:1] [-90:321:8] |
Generators of the group modulo torsion |
j |
1176147025/534688 |
j-invariant |
L |
13.860363434956 |
L(r)(E,1)/r! |
Ω |
1.5341254982342 |
Real period |
R |
0.30115666226924 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350m1 |
Quadratic twists by: 5 |