Atkin-Lehner |
2- 3+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107508a |
Isogeny class |
Conductor |
107508 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-29925329749175664 = -1 · 24 · 32 · 178 · 313 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -2 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8574,-8320203] |
[a1,a2,a3,a4,a6] |
j |
180472064/77486391 |
j-invariant |
L |
0.69702479219008 |
L(r)(E,1)/r! |
Ω |
0.17425622108902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6324d1 |
Quadratic twists by: 17 |