Atkin-Lehner |
2- 5- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31450w |
Isogeny class |
Conductor |
31450 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
250560 |
Modular degree for the optimal curve |
Δ |
-27549274112000 = -1 · 215 · 53 · 173 · 372 |
Discriminant |
Eigenvalues |
2- -3 5- -2 -6 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27885,1816917] |
[a1,a2,a3,a4,a6] |
Generators |
[163:-1340:1] [89:-230:1] |
Generators of the group modulo torsion |
j |
-19182757843261557/220394192896 |
j-invariant |
L |
7.3590184969458 |
L(r)(E,1)/r! |
Ω |
0.66883984265671 |
Real period |
R |
0.0611258981399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31450e1 |
Quadratic twists by: 5 |