Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950hk |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-15947138123437500 = -1 · 22 · 36 · 58 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-107213,-14824083] |
[a1,a2,a3,a4,a6] |
j |
-74140932601/8675100 |
j-invariant |
L |
6.2907658148779 |
L(r)(E,1)/r! |
Ω |
0.1310576266356 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990f1 17850bk1 |
Quadratic twists by: 5 -7 |