Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
121520bl |
Isogeny class |
Conductor |
121520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-1829978429440000 = -1 · 214 · 54 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11744,-2002944] |
[a1,a2,a3,a4,a6] |
Generators |
[384:7680:1] |
Generators of the group modulo torsion |
j |
371694959/3797500 |
j-invariant |
L |
8.1853005677883 |
L(r)(E,1)/r! |
Ω |
0.23160793856069 |
Real period |
R |
4.4176489454395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190z1 17360bh1 |
Quadratic twists by: -4 -7 |